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Development and Extension of Discrete Integrable Geometry

Research Project

Project/Area Number 16H03941
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionKyushu University

Principal Investigator

Kajiwara Kenji  九州大学, マス・フォア・インダストリ研究所, 教授 (40268115)

Co-Investigator(Kenkyū-buntansha) 増田 哲  青山学院大学, 理工学部, 教授 (00335457)
太田 泰広  神戸大学, 理学研究科, 教授 (10213745)
廣瀬 三平  芝浦工業大学, デザイン工学部, 准教授 (20743230)
井ノ口 順一  筑波大学, 数理物質系, 教授 (40309886)
Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥15,730,000 (Direct Cost: ¥12,100,000、Indirect Cost: ¥3,630,000)
Fiscal Year 2019: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2018: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2017: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2016: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Keywords離散微分幾何 / 可積分系 / クライン幾何 / 曲面・曲線 / 離散正則函数 / ソリトン方程式 / パンルヴェ方程式 / 対数型美的曲線 / 離散可積分系 / 離散ソリトン方程式 / ガルニエ系 / 離散曲面 / 離散曲線 / 幾何学的形状生成 / ソリトン / τ函数
Outline of Final Research Achievements

Discrete integrable differential geometry and its application have been studied, focusing on the integrable structure behind the discrete geometric objects. We have obtained the results on the discrete surfaces/curves and their deformation theory, discrete holomorphic functions, construction of discrete models of curves/surfaces, and stable and precise numerical method for the surfaces and interfaces. In particular, regarding the discrete surfaces/curves and their deformation theory, we formulated a good framework for the log-aesthetic curves developed in the area of the industrial design by using the Klein geometry and succeeded in generalization. Based on those results, we have proposed a project for JST CREST aiming at the development to the various areas of design, which has been successfully accepted.

Academic Significance and Societal Importance of the Research Achievements

さまざまな離散的な曲面,曲線やその変形,またCGなどで用いられる複素正則函数の離散化を扱う理論的な基礎を確立し,その応用の一つとして設計諸分野で美しくアート性の高い形状の設計を容易にする美的形状の基本要素に関する数学的な理論を構築し,また土壌中の水浸透減少に関する高精度かつ高速な数値モデルを定式化した.

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • Research Products

    (164 results)

All 2020 2019 2018 2017 2016 Other

All Int'l Joint Research (7 results) Journal Article (35 results) (of which Int'l Joint Research: 22 results,  Peer Reviewed: 34 results,  Open Access: 8 results,  Acknowledgement Compliant: 10 results) Presentation (118 results) (of which Int'l Joint Research: 51 results,  Invited: 71 results) Book (3 results) Remarks (1 results)

  • [Int'l Joint Research] The University of Sydney/University of New South Wales/La Trobe University(オーストラリア)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Free University of Berlin(ドイツ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] University of New South Wales/The University of Sydney/La Trobe University(オーストラリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Keimyung University(韓国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of New South Wales/University of Sydney(オーストラリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Universiti Malaysia Terengganu(マレーシア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] La Trobe University(オーストラリア)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Bilinearization of the q-Sasano system of type D7(1) and special polynomials associated with its rational solutions2020

    • Author(s)
      T. Masuda
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete local induction equation2019

    • Author(s)
      Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura and Yasuhiro Ohta
    • Journal Title

      Journal of Integrable Systems

      Volume: 印刷中 Issue: 1 Pages: 1-43

    • DOI

      10.1093/integr/xyz003

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Isoperimetric deformations of curves on the Minkowski plane2019

    • Author(s)
      Hyeongki Park, Jun-ichi Inoguchi, Kenji Kajiwara, Ken-ichi Maruno, Nozomu Matsuura and Yasuhiro Ohta
    • Journal Title

      International Journal of Geometric Methods in Modern Physics

      Volume: 印刷中 Issue: 07 Pages: 1950100-1950100

    • DOI

      10.1142/s0219887819501007

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Fairing of discrete planar curves by discrete Euler's elasticae2019

    • Author(s)
      Zurita Sebastian Elias Graiff、Kajiwara Kenji
    • Journal Title

      JSIAM Letters

      Volume: 11 Issue: 0 Pages: 73-76

    • DOI

      10.14495/jsiaml.11.73

    • NAID

      130007771236

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalization of log-aesthetic curves via similarity geometry2019

    • Author(s)
      Jun-ichi Inoguchi Rushan Ziatdinov Kenjiro T. Miura
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 36 Issue: 1 Pages: 239-259

    • DOI

      10.1007/s13160-018-0335-7

    • NAID

      210000160066

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Bilinearization of the q-Sasano system of type D7(1) and special polynomials associated with its rational solutions2019

    • Author(s)
      Tetsu Masuda
    • Journal Title

      RIMS Kokyuroku Bessatsu (to appear)

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Linkage mechanisms governed by integrable deformations of discrete space curves2019

    • Author(s)
      Shizuo Kaji, Kenji Kajiwara and Hyeongki Park
    • Journal Title

      Nonlinear Systems and Their Remarkable Mathe- matical Structures(to appear)

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Defocusing mKdV flow on centroaffine plane curves2018

    • Author(s)
      Park Hyeongki、Kajiwara Kenji、Kurose Takashi、Matsuura Nozomu
    • Journal Title

      JSIAM Letters

      Volume: 10 Issue: 0 Pages: 25-28

    • DOI

      10.14495/jsiaml.10.25

    • NAID

      130007420864

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Affine spheres and finite gap solutions of Tzitzeica equation2018

    • Author(s)
      Jun-ichi Inoguchi Seiichi Udagawa
    • Journal Title

      Journal of Physics Communications

      Volume: 2 Issue: 11 Pages: 115020-115020

    • DOI

      10.1088/2399-6528/aaeaa0

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Log-aesthetic curves as similarity geometric analogue of Euler's elasticae2018

    • Author(s)
      Inoguchi Jun-ichi、Kajiwara Kenji、Miura Kenjiro T.、Sato Masayuki、Schief Wolfgang K.、Shimizu Yasuhiro
    • Journal Title

      Computer Aided Geometric Design

      Volume: 61 Pages: 1-5

    • DOI

      10.1016/j.cagd.2018.02.002

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 相似幾何における弾性曲線とその離散化・CAGD との関連について2018

    • Author(s)
      井ノ口順一,梶原健司,三浦憲二郎,朴炯基,W.K. Schief
    • Journal Title

      九州大学応用力学研究所研究集会報告

      Volume: -

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Integrable Discrete Model for One-Dimensional Soil Water Infiltration2018

    • Author(s)
      Triadis Dimetre、Broadbridge Philip、Kajiwara Kenji、Maruno Ken-ichi
    • Journal Title

      Stud. Appl. Math.

      Volume: 140 Issue: 4 Pages: 483-507

    • DOI

      10.1111/sapm.12208

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Magnetic curves in Sol32018

    • Author(s)
      Erjavec Zlatko、Inoguchi Jun-ichi
    • Journal Title

      Journal of Nonlinear Mathematical Physics

      Volume: 25 Issue: 2 Pages: 198-210

    • DOI

      10.1080/14029251.2018.1452670

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] PERIODIC MAGNETIC CURVES IN BERGER SPHERES2017

    • Author(s)
      Inoguchi Jun-ichi、Munteanu Marian Ioan
    • Journal Title

      Tohoku Mathematical Journal, Second Series

      Volume: 69 Issue: 1 Pages: 113-128

    • DOI

      10.2748/tmj/1493172131

    • ISSN
      0040-8735, 2186-585X
    • Year and Date
      2017-03-30
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Fairness metric of plane curves defined with similarity geometry invariants2017

    • Author(s)
      Miura Kenjiro T.、Suzuki Sho、Gobithaasan R.U.、Usuki Shin、Inoguchi Jun-ichi、Sato Masayuki、Kajiwara Kenji、Shimizu Yasuhiro
    • Journal Title

      Computer-Aided Design and Applications

      Volume: 15 Issue: 2 Pages: 256-263

    • DOI

      10.1080/16864360.2017.1375677

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Geometric description of a discrete power function associated with the sixth Painlev? equation2017

    • Author(s)
      Joshi Nalini、Kajiwara Kenji、Masuda Tetsu、Nakazono Nobutaka、Shi Yang
    • Journal Title

      Proc. R. Soc. A

      Volume: 473 Issue: 2207 Pages: 20170312-20170312

    • DOI

      10.1098/rspa.2017.0312

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue2017

    • Author(s)
      Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 50 Issue: 5 Pages: 055201-055201

    • DOI

      10.1088/1751-8121/50/5/055201

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Geometric Formulation and Multi-dark Soliton Solution to the Defocusing Complex Short Pulse Equation2017

    • Author(s)
      Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
    • Journal Title

      Studies in Applied Mathematics

      Volume: 136 Issue: 3 Pages: 343-367

    • DOI

      10.1111/sapm.12159

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] An integrable semi-discrete Degasperis-Procesi equation2017

    • Author(s)
      B.-F. Feng, K. Maruno and Y. Ohta
    • Journal Title

      Nonlinearity

      Volume: 30 Issue: 6 Pages: 2246-2267

    • DOI

      10.1088/1361-6544/aa67fc

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A modified complex short pulse equation of defocusing type2017

    • Author(s)
      Shen Shoufeng、Feng Bao-Feng、Ohta Yasuhiro
    • Journal Title

      J. Nonlin. Math. Phys.

      Volume: 24 Issue: 2 Pages: 195-209

    • DOI

      10.1080/14029251.2017.1306946

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Degasperis-Procesi equation, its short wave model and the CKP hierarchy2017

    • Author(s)
      B.-F. Feng, K. Maruno and Y. Ohta
    • Journal Title

      Annal. Math. Sci. Appl.

      Volume: 2 Issue: 2 Pages: 285-316

    • DOI

      10.4310/amsa.2017.v2.n2.a4

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] N-bright-dark soliton solution to a semi-discrete vector nonlinear Schroedinger equation2017

    • Author(s)
      B.-F. Feng and Y. Ohta
    • Journal Title

      SIGMA Symmetry Integrability Geom. Methods Appl.

      Volume: 13 Pages: 071-071

    • DOI

      10.3842/sigma.2017.071

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Biharmonic hypersurfaces in Riemannian symmetric spaces II2017

    • Author(s)
      Inoguchi Jun-ichi, Sasahara Toru
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 47 Pages: 349-378

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Slant curves in 3-dimensional almost f-Kenmotsu manifolds2017

    • Author(s)
      Inoguchi Jun-ichi, Lee Ji-Eun
    • Journal Title

      Communications of the Korean Mathematical Society

      Volume: 32 Pages: 417-424

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A note on almost contact Riemannian 3-manifolds II2017

    • Author(s)
      Jun-ichi Inoguchi
    • Journal Title

      Bulletin of the Korean Mathematical Society

      Volume: 54 Issue: 1 Pages: 85-97

    • DOI

      10.4134/bkms.b150772

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Geometric aspects of Painlev\'e equations2017

    • Author(s)
      K. Kajiwara, M. Noumi, Y. Yamada
    • Journal Title

      J. Phys. A Math. Theor.

      Volume: 50 Issue: 7 Pages: 073001-073001

    • DOI

      10.1088/1751-8121/50/7/073001

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] "Schrodinger's Smoke”のアルゴリズム2016

    • Author(s)
      廣瀬三平
    • Journal Title

      “Schrodinger's Smoke”のアルゴリズム

      Volume: 10

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Finite gap solutions for horizontal minimal surfaces of finite type in 5-sphere2016

    • Author(s)
      Jun-ichi Inoguchi, Tetsuya Taniguchi, Seiichi Udagawa
    • Journal Title

      Journal of Integrable Systems

      Volume: 2015/2016

    • DOI

      10.1093/integr/xyw011

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A loop group method for affine harmonic maps into Lie groups2016

    • Author(s)
      Josef F. Dorfmeister, Jun-ichi Inoguchi, Shimpei Kobayashi
    • Journal Title

      Advances in Mathematics

      Volume: 298 Pages: 207-253

    • DOI

      10.1016/j.aim.2016.04.018

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] dNLS Flow on Discrete Space Curves2016

    • Author(s)
      Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara,Nozomu Matsuura, Yasuhiro Ohta
    • Journal Title

      Mathematics for Industry

      Volume: 24 Pages: 137-150

    • DOI

      10.1007/978-981-10-1076-7_14

    • ISBN
      9789811010750, 9789811010767
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Attractive Plane Curves in Differential Geometry2016

    • Author(s)
      Jun-ichi Inoguchi
    • Journal Title

      Mathematics for Industry

      Volume: 24 Pages: 121-136

    • DOI

      10.1007/978-981-10-1076-7_13

    • ISBN
      9789811010750, 9789811010767
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] New examples of magnetic maps involving tangent bundles2016

    • Author(s)
      J. Inoguchi, M.I. Munteanu
    • Journal Title

      Rendiconti Sem Matematico Universita e Politecnico di Torino

      Volume: 73 Pages: 97-112

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A $q$-deformation of discrete dynamical systems associated with the Weyl group of type $A$2016

    • Author(s)
      Azusa Ikeda and Tetsu Masuda
    • Journal Title

      Journal of Integrable Systems

      Volume: 1 Issue: 1 Pages: xyw004-xyw004

    • DOI

      10.1093/integr/xyw004

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] From the real and complex coupled dispersionless equations to the real and complex short pulse equations2016

    • Author(s)
      S. Shen, B.-F. Feng, Y. Ohta
    • Journal Title

      Stud. Appl. Math.

      Volume: 136 Issue: 1 Pages: 64-88

    • DOI

      10.1111/sapm.12092

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] An integrable semi-discretization of the coupled Yajima-Oikawa system2016

    • Author(s)
      Junchao Chen, Yong Chen, Bao-Feng Feng, Ken-ichi Maruno and Yasuhiro Ohta
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 49 Issue: 16 Pages: 165201-165201

    • DOI

      10.1088/1751-8113/49/16/165201

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] 可積分系と美的形状の幾何2020

    • Author(s)
      梶原健司,井ノ口順一,三浦憲二郎,Wolfgang Schief
    • Organizer
      龍谷大学理工学部数理情報学科セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Generation of aesthetic shapes by integrable systems2020

    • Author(s)
      Kenji Kajiwara and Wolfgang
    • Organizer
      Australia New Zealand Industrial and Applied Mathematics Conference 2020
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Generation of aesthetic shapes by integrable systems2020

    • Author(s)
      Kenji Kajiawra, Kenjiro T. Miura, Jun-ichi Inoguchi and Wolfgang Schief
    • Organizer
      The closing workshop of the project “Geometric Shape Generation”
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 植物の根による水の吸収を考慮した土壌中の水浸透現象を表す定常モデル2020

    • Author(s)
      田中義久,Triadis Dimetre, 梶原健司
    • Organizer
      日本応用数理学会 2020 年研究部会連合発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Spherical Kaleidocycles on 3-sphere2020

    • Author(s)
      朴炯基,Jakub Rondomanski, Konrad Polthier,梶原健司
    • Organizer
      日本応用数理学会 2020 年研究部会連合発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Explicit expression for the curvature of an integrable discrete Euler’s elasticae and its application to shape identification2020

    • Author(s)
      Sebastan Elias Graiff-Zurita, 鈴木利友,梶原健司
    • Organizer
      日本応用数理学会 2020 年研究部会連合発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 可積分系と美的形状の幾何2020

    • Author(s)
      梶原健司,Wolfgang Schief,井ノ口順一
    • Organizer
      日本応用数理学会 2020 年研究部会連合発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Euler の弾性曲線の可積分離散化による手づくりの桟瓦のキーラインの近似2020

    • Author(s)
      鈴木利友, Sebastiian Elias Graiff-Zurita, 梶原健司, 三浦憲二郎
    • Organizer
      2020 年度精密工学会春季大会学術講演会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 団代数をもちいたA7(1) q-パンルヴェ系の高階化2020

    • Author(s)
      大久保直人,増田哲,津田照久
    • Organizer
      2020年日本数学会年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Application of Integrable Discrete Differential Geometry to Industrial Design2019

    • Author(s)
      Kenji Kajiwara Jun-ichi Inoguchi, Kenjiro T. Miura, Wolfgang Schief
    • Organizer
      Kyushu University-National Taiwan Normal University Joint Forum
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The Burgers-type Equations in the Deformation Theory of Curves2019

    • Author(s)
      Kenji Kajiwara, Jun-ichi Inoguchi, Kenjiro T. Miura, Wolfgang Schief
    • Organizer
      Applications of Nonlinear Diffusion Equations 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Linkage Mechanisms Governed by Integrable Deformation of Discrete Space Curves2019

    • Author(s)
      Shizuo Kaji, Kenji Kajiwara and Hyeongki Park
    • Organizer
      ISLAND V:Integrability, special functions and combinatorics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Generation of Aesthetic Shapes by Integrable Geometry2019

    • Author(s)
      Kenji Kajiwara, Jun-ichi Inoguchi, Kenjiro T. Miura, Wolfgang Schief
    • Organizer
      International Congress on Industrial and Applied Mathematics 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 形と可積分系2019

    • Author(s)
      梶原健司
    • Organizer
      Workshop on Isogeometric Analysis
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] ユークリッド幾何に基づく離散対数型美的曲線の実装2019

    • Author(s)
      井ノ口順一,梶原健司,三浦憲二郎
    • Organizer
      日本応用数理学会2019 年度年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 六角格子上の離散冪函数:ABS方程式系とGarnier系からの導出2019

    • Author(s)
      Nalini Joshi, 梶原健司,増田哲,中園信孝
    • Organizer
      日本応用数理学会2019 年度年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 設計の新パラダイムを拓く新しい離散的な曲面の幾何学2019

    • Author(s)
      梶原健司
    • Organizer
      2019 年度IMI 短期共同研究「離散微分幾何の設計への応用:理論から実務へ」
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 可積分系と美的形状の幾何2019

    • Author(s)
      梶原健司,井ノ口順一,三浦憲二郎,Wolfgang Schief
    • Organizer
      離散幾何解析とその周辺2019
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 可積分系の数理の最近の展開:可解カオスから美的形状の幾何まで2019

    • Author(s)
      梶原健司
    • Organizer
      CREST 暗号数理2019 年度第2 回全体会議
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Log-Aesthetic Curves in Industrial Design as Similarity Geometric Analogue of Euler’s Elasticae2019

    • Author(s)
      Kenji Kajiawra, Kenjiro T. Miura, Jun-ichi Inoguchi and Wolfgang Schief
    • Organizer
      Elastic defects and structures. Modeling and experiments
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two dimensional stationary vorticity distribution and integrable system2019

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      The Eleventh IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory,
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Discretization of the Liouville equation of elliptic type2019

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      The 2nd JNMP Conference on Nonlinear Mathematical Physics: 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dark soliton solutions for toroidal type soliton equations2019

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      ISLAND V: Integrable systems, special functions and combinatorics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An expression of lambda determinant derived from Toda lattice equation2019

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      The 9th International Congress on Industrial and Applied Mathematics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 工業意匠設計と幾何学2019

    • Author(s)
      井ノ口順一
    • Organizer
      北九州数理科学セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] A hinged linkage mechanism that follows discrete integrable equations2019

    • Author(s)
      Shizuo Kaji Kenji Kajiwara Hyeongki Park
    • Organizer
      55th Annual Meeting of the Australia New Zealand Industrial and Applied Mathematics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Space Curve Extensions of Log-Aesthetic Curves in Industrial Design by Integrable Geometry2019

    • Author(s)
      Kenji Kajiwara Jun-ichi Inoguchi Kenjiro T. Miura Wolfgang Schief
    • Organizer
      55th Annual Meeting of the Australia New Zealand Industrial and Applied Mathematics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 相似可積分幾何を用いた対数型美的曲線の空間曲線への拡張 II2019

    • Author(s)
      梶原健司 井ノ口順一 三浦憲二郎 Wolfgang Schief
    • Organizer
      日本応用数理学会2019年研究部会連合発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] A hinged linkage mechanism that follows discrete integrable equations2019

    • Author(s)
      鍛冶静雄 梶原健司 朴炯基
    • Organizer
      日本応用数理学会2019年研究部会連合発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 相似幾何およびユークリッド幾何に基づく離散対数型美的曲線の生成2019

    • Author(s)
      三浦憲二郎 梶原健司 井ノ口順一
    • Organizer
      精密工学会2019年度春期大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 実寸と重なりの非対称性を考慮した桟瓦のキーラインの等辺開多角形近似2019

    • Author(s)
      鈴木利友,井上年和,梶原健司,三浦憲二郎
    • Organizer
      精密工学会2019年度春期大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Weyl 群の双有理実現とクラスター代数2019

    • Author(s)
      大久保 直人 津田照久 増田哲
    • Organizer
      日本数学会2019年度年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Lump solitons generated by instability of line soliton for KPI equation2019

    • Author(s)
      Y. Ohta Y. Watanabe Y. Tanaka K. Maruno
    • Organizer
      AMS Sectional Meeting AMS Special Session Spring Central and Western Joint Sectional Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 二次元定常流に対するオイラー方程式の離散化について2019

    • Author(s)
      太田泰広
    • Organizer
      研究集会「非線形海洋波の数理の最近の進展」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Log-Aesthetic Curves in Industrial Design as Similarity Geometric Analogue of Euler's Elasticae2018

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Asymptotic Algebraic Geometric Aspects of Integrable Systems
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Integrable Discretization of Log-Aesthetic Curves in Industrial Design2018

    • Author(s)
      Kenji Kajiwara
    • Organizer
      12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lotka-Volterra flow on discrete centroaffine plane curves2018

    • Author(s)
      Kenji Kajiwara Nozomu Matsuura Hyeongki Park
    • Organizer
      日本応用数理学会2018年度年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Fairing of discrete planar curves with integrable discretization of Euler's elasticae2018

    • Author(s)
      Sebastian Graiff-Zurita Kenji Kajiwara
    • Organizer
      日本応用数理学会2018年度年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 相似可積分幾何を用いた対数型美的曲線の空間曲線への拡張2018

    • Author(s)
      梶原健司 Wolfgang Schief
    • Organizer
      日本応用数理学会2018年度年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Log-aestiethic curves in industrial design as similarity analogue of Euler's elastic curves2018

    • Author(s)
      Kenji Kajiwara Jun-ichi Inoguchi Kenjiro T. Miura Wolfgang Schief
    • Organizer
      Summer School ``Geometric Shape Generation''
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Introduction to the discrete integrable systems based on the geometry of plane curves2018

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Summer School ``Geometric Shape Generation''
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Log-aestiethic curves in industrial design as similarity analogue of Euler's elastic curves2018

    • Author(s)
      Kenji Kajiwara, Jun-ichi Inoguchi, Kenjiro T. Miura Wolfgang Schief
    • Organizer
      Autumn School ``Geometric Shape Generation''
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Log-aestiethic curves in industrial design as similarity analogue of Euler's elasticae2018

    • Author(s)
      Kenji Kajiwara, Jun-ichi Inoguchi, Kenjiro T. Miura Wolfgang Schief
    • Organizer
      Geometric Design Meeting at Hokkaido
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lotka-Volterra flow on discrete centroaffine plane curves2018

    • Author(s)
      Kenji Kajiwara, Nozomu Matsuura Heyongki Park
    • Organizer
      13th International Conference on Symmetries and Integrability of Difference Equations
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Hinged linkage mechanism that follows discrete integrable equations2018

    • Author(s)
      Shizuo Kaji, Kenji Kajiwara Hyeongki Park
    • Organizer
      Forum ``Math-for-Industry'' 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A New Framework and Extensions of Log-Aesthetic Curves in Industrial Design by Integrable Geometry2018

    • Author(s)
      Kenji Kajiwara Jun-ichi Inoguchi Kenjiro T. Miura Wolfgang Schief
    • Organizer
      62nd Annual Meeting of the Australian Mathematical Society
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Discrete binormal flow on discrete curves,2018

    • Author(s)
      廣瀬三平
    • Organizer
      The 2nd SIT-UOG workshop on pure/applied mathematics and computer science
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 有限要素法と離散微分幾何との関係について2018

    • Author(s)
      廣瀬三平
    • Organizer
      九州大学マス・フォア・インダストリ研究所短期共同研究「離散微分幾何の新展開.意匠設計から建築設計へ」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Weyl 群の双有理実現とクラスター代数2018

    • Author(s)
      増田哲
    • Organizer
      研究集会「クラスター代数と可積分系」
    • Related Report
      2018 Annual Research Report
  • [Presentation] D7{(1)}型q-笹野系とその有理解2018

    • Author(s)
      増田哲
    • Organizer
      研究集会「可積分系理論から見える数理構造とその応用」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Time-localized solutions for some soliton equations2018

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      Workshop on Nonlinear Water Waves
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Periodic phase solitons for discrete and ultradiscrete equations2018

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      JSPS US AA Seminar Program 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Log-Aesthetic Curves in Industrial Design as Similarity Geometric Analogue of Euler’s Elastic Curves2018

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Joint Mathematics Meeting 2018
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Log-Aesthetic Curves in Industrial Design as Similarity Geometric Analogue of Euler’s Elastic Curves2018

    • Author(s)
      Kenji Kajiwara
    • Organizer
      ANZIAM Conference 2018
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] An integrable discrete model for soil-water infiltration2018

    • Author(s)
      D.Triadis, P. Broadbridge, K. Kajiwara, K. Maruno
    • Organizer
      ANZIAM Conference 2018
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 土壌中の水浸透現象に対する可積分離散モデルの比較検討2018

    • Author(s)
      梶原健司,D.Triadis, P. Broadbridge, 丸野健一
    • Organizer
      日本応用数理学会第14回研究部会連合発表会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 離散対数型美的曲線の離散変分原理による定式化2018

    • Author(s)
      梶原健司,朴炯基,W.K. Schief
    • Organizer
      日本応用数理学会第14回研究部会連合発表会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 離散可積分幾何による対数型美的曲線の離散化2018

    • Author(s)
      梶原健司,朴炯基,W.K. Schief
    • Organizer
      AIMaP数学応用シンポジウム「精密工学と幾何学の新たな出会い」
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 対数型美的曲線の相似幾何学的定式化2018

    • Author(s)
      井ノ口順一
    • Organizer
      AIMaP数学応用シンポジウム:精密工学と幾何学の新たな出会い
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] dNLS flow on discrete space curves2017

    • Author(s)
      Kenji Kajiwara
    • Organizer
      The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
    • Place of Presentation
      University of Georgia, Athens, USA
    • Year and Date
      2017-03-30
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Regular and finite time blowup solutions for discrete integrable equations2017

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
    • Place of Presentation
      Athens, USA
    • Year and Date
      2017-03-29
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] E7(1)型対称性をもつ4階離散力学系について2017

    • Author(s)
      増田哲
    • Organizer
      複素領域における関数方程式とその周辺
    • Place of Presentation
      広島大学
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Construction and simulation of discrete integrable model for soil water infiltration problem2017

    • Author(s)
      梶原健司
    • Organizer
      日本応用数理学会 2017 年研究部会連合発表会
    • Place of Presentation
      電気通信大学
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] Soliton equations and deformation of smooth/discrete curves.I. deformation of plane curves by mKdV2017

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Shanghai University
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Soliton equations and deformation of smooth/discrete curves.II. deformation of space curves by mKdV and NLS2017

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Shanghai University
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Aspects of Integrable discrete differential geometry2017

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Shanghai Jiao Tong University
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometric description of discrete power function associated with the sixth Painleve equation2017

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Painleve equations and applications in memory of Andrei Kapaev
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 相似幾何不変量による平面曲線のFairness測度2017

    • Author(s)
      三浦 憲二郎, 鈴木 晶,臼杵 深, Gobithaasan Rudrusamy, 井ノ口 順一, 佐藤 雅之, 梶原 健司, 清水 保弘
    • Organizer
      日本応用数理学会2017年年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 対数型美的曲線の相似幾何における平面曲線に対する変分原理による定式化2017

    • Author(s)
      井ノ口 順一, 梶原 健司, 三浦 憲二郎, Schief Wolfgang
    • Organizer
      日本応用数理学会2017年年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 対数型美的曲線の離散化と相似幾何における平面離散曲線に対する離散変分原理による定式化2017

    • Author(s)
      梶原 健司, 朴 炯基, Schief Wolfgang
    • Organizer
      日本応用数理学会2017年年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Explicit formula for mKdV flow on centroaffine plane curves2017

    • Author(s)
      梶原 健司,黒瀬 俊, 松浦 望,朴 炯基
    • Organizer
      日本応用数理学会2017年年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 相似幾何における弾性曲線とその離散化:CAGD との関連について2017

    • Author(s)
      井ノ口順一,梶原健司,三浦憲二郎,朴炯基,W.K. Schief
    • Organizer
      九州大学応用力学研究所共同利用研究集会「非線形波動研究の新潮流-理論とその応用-」
    • Related Report
      2017 Annual Research Report
  • [Presentation] Log-Aesthetic Curves in Industrial Design as Similarity Geometric Analogue of Euler’s Elastic Curves2017

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Dasan Conference 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Log-Aesthetic Curves in Industrial Design as Similarity Geometric Analogue of Euler’s Elastic Curves2017

    • Author(s)
      梶原健司
    • Organizer
      九州可積分系セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Jeu de taquin と超離散戸田方程式2017

    • Author(s)
      筧三郎, 上岡修平, 太田 泰広
    • Organizer
      日本応用数理学会2017年度年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Semi-discrete analogues of the complex short pulse and coupled complex short pulse equations based on the KP hierarchy reduction2017

    • Author(s)
      Baofeng Feng and Yasuhiro Ohta
    • Organizer
      AMS Sectional Meeting (Fall Central Sectional Meeting)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 可積分系における rogue wave 解の数理的構造2017

    • Author(s)
      太田泰広
    • Organizer
      RIMS共同研究(公開型)「非線形波動現象の数理とその応用」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Discretization of the Lagrange top2017

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      Scientific Gathering New phenomena in discrete integrable systems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] DKP hierarchy and its Pfaffian solutions2017

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      Scientific Gathering New phenomena in discrete integrable systems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ソリトン方程式の時間的局在解について2017

    • Author(s)
      太田泰広
    • Organizer
      研究集会「非線形海洋波の数理の展望」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Grassmann geometry of surfaces in 3-dimensional homogeneous spaces2017

    • Author(s)
      Jun-ichi Inoguchi
    • Organizer
      International Conference on Applied and Pure Mathematics (ICAPM 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 2変数 Garnier 系とその超幾何解について2017

    • Author(s)
      増田 哲
    • Organizer
      Workshop on Accessory Parameters
    • Related Report
      2017 Annual Research Report
  • [Presentation] 4階笹野系のq-類似たち2017

    • Author(s)
      増田 哲
    • Organizer
      日本数学会年会無限可積分系セッション
    • Related Report
      2017 Annual Research Report
  • [Presentation] 閉離散曲線の時間発展について2017

    • Author(s)
      廣瀬三平
    • Organizer
      数学と現象 in 奥多摩
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 離散微分幾何とその応用2016

    • Author(s)
      廣瀬三平
    • Organizer
      葉層構造の幾何学とその応用
    • Place of Presentation
      京都教育大学
    • Year and Date
      2016-12-10
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Integrable deformation of plane/space curves2016

    • Author(s)
      Kenji Kajiwara
    • Organizer
      First Kyushu-UNSW Joint Workshop on the Mathematics underpinning Industry and Innovation
    • Place of Presentation
      University of New South Wales
    • Year and Date
      2016-11-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 渦糸の運動の離散モデル2016

    • Author(s)
      廣瀬三平
    • Organizer
      明治非線形数理セミナー
    • Place of Presentation
      明治大学
    • Year and Date
      2016-11-10
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Construction and simulation of discrete integrable model for soil water infiltration problem2016

    • Author(s)
      梶原健司
    • Organizer
      州大学応用力学研究所共同利用研究集会「非線形波動研究の深化と展開」
    • Place of Presentation
      九州大学
    • Year and Date
      2016-11-04
    • Related Report
      2016 Annual Research Report
  • [Presentation] 曲線の可積分変形と渦糸の離散モモデル2016

    • Author(s)
      梶原健司
    • Organizer
      芝浦工業大学システム理工学部数理科学科談話会
    • Place of Presentation
      芝浦工業大学
    • Year and Date
      2016-10-31
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 19 世紀の微分幾何2016

    • Author(s)
      井ノ口順一
    • Organizer
      第 27 回数学史シンポジウム
    • Place of Presentation
      津田塾大学
    • Year and Date
      2016-10-08
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 相似幾何学と等積幾何学における平面曲線2016

    • Author(s)
      井ノ口順一
    • Organizer
      IMI 短期共同研究 「意匠設計のための微分幾何学・離散微分幾何」
    • Place of Presentation
      九州大学
    • Year and Date
      2016-09-27
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] An approach to discrete differential geometry from integrable systems2016

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Applied Mathematics Seminar
    • Place of Presentation
      University of Sydney
    • Year and Date
      2016-09-21
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A型q-Painleve 系とその拡張について2016

    • Author(s)
      増田哲
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学
    • Year and Date
      2016-09-15
    • Related Report
      2016 Annual Research Report
  • [Presentation] A2(1)およびA(1)型q-Painleve 系の超幾何解2016

    • Author(s)
      増田哲
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学
    • Year and Date
      2016-09-15
    • Related Report
      2016 Annual Research Report
  • [Presentation] Jeu de taquin slideと離散2次元戸田方程式2016

    • Author(s)
      筧三郎, 上岡修平, 片山陽介, 太田泰広
    • Organizer
      日本数学会 2016年度秋季総合分科会
    • Place of Presentation
      関西大学
    • Year and Date
      2016-09-15
    • Related Report
      2016 Annual Research Report
  • [Presentation] Modified short pulse方程式の可積分自己適合移動格子スキーム2016

    • Author(s)
      徐俊庭, 丸野健一, Feng Bao-Feng, 太田泰広
    • Organizer
      日本応用数理学会 2016年度年会
    • Place of Presentation
      北九州市
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
  • [Presentation] Integrable motion of space curve and its determinant expressions2016

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      日本応用数理学会 2016年度年会JSIAM-ANZIAM特別OS応用可積分系
    • Place of Presentation
      北九州市
    • Year and Date
      2016-09-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Discrete Model of Dynamics of Vortex Filaments2016

    • Author(s)
      Sampei Hirose
    • Organizer
      Czech-Japanese-Polish Seminar in Applied Mathematics
    • Place of Presentation
      AGH University of Science and Technology (Poland)
    • Year and Date
      2016-09-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] The hidden symmetry of chiral fields and the Riemann-Hilbert problem, revisited2016

    • Author(s)
      井ノ口順一
    • Organizer
      RIMS 研究集会「可積分系数理の現状と展望」
    • Place of Presentation
      京都大学
    • Year and Date
      2016-09-05
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 磁場軌道と接触構造2016

    • Author(s)
      井ノ口順一
    • Organizer
      部分多様体とリー群作用 2016
    • Place of Presentation
      東京理科大学
    • Year and Date
      2016-09-01
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 平面曲線と意匠設計2016

    • Author(s)
      井ノ口順一
    • Organizer
      第63回幾何学シンポジウム
    • Place of Presentation
      岡山大学
    • Year and Date
      2016-08-28
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] A型q-パンルヴェ系とその超幾何函数解2016

    • Author(s)
      増田哲
    • Organizer
      Workshop on Accessory Paramaters
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2016-08-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Integrable discrete deformations of space/plane discrete curves2016

    • Author(s)
      Kenji Kajiwara
    • Organizer
      The 3rd China-Japan Joint Workshop on Integrable Systems
    • Place of Presentation
      Xi’an, China
    • Year and Date
      2016-08-19
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Integrable deformation of plane curves2016

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Applied Mathematics Seminar
    • Place of Presentation
      La Trobe University
    • Year and Date
      2016-08-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Discrete Exterior Calculusによる離散微分幾何入門2016

    • Author(s)
      廣瀬三平
    • Organizer
      RIMS共同研究「統計的モデリングと予測理論のための統合的数理研究」
    • Place of Presentation
      京都大学
    • Year and Date
      2016-08-08
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] An elementary introduction to discrete and ultradiscrete integrable models - disctete and ultradiscrete Burgers equations2016

    • Author(s)
      Kenji Kajiwara
    • Organizer
      Applied Mathematics Seminar
    • Place of Presentation
      La Trobe University
    • Year and Date
      2016-08-02
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ”Schrodinger’s Smoke”の実装2016

    • Author(s)
      廣瀬三平
    • Organizer
      CG技術の実装と数理2016
    • Place of Presentation
      株式会社コロプラ
    • Year and Date
      2016-07-09
    • Related Report
      2016 Annual Research Report
  • [Presentation] An integrable discrte model of vortex filaments2016

    • Author(s)
      Kenji Kajiwara
    • Organizer
      12th Workshop on Symmetries and Integrability of Difference Equations
    • Place of Presentation
      Sainte-Adele, Canada
    • Year and Date
      2016-07-06
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Rogue wave solutions for discrete soliton equations2016

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      The Fourth International Conference, Nonlinear Waves - Theory and Applications
    • Place of Presentation
      Beijing, China
    • Year and Date
      2016-06-25
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A型q-パンルヴェ系とその拡張について2016

    • Author(s)
      増田哲
    • Organizer
      神戸可積分系セミナー
    • Place of Presentation
      神戸大学
    • Year and Date
      2016-06-22
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 渦糸の可積分離散モデル2016

    • Author(s)
      梶原健司
    • Organizer
      IMI 短期共同研究「物理現象の演出可能な離散モデルの構築」
    • Place of Presentation
      九州大学
    • Year and Date
      2016-06-12
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] CGにおける数学的手法2016

    • Author(s)
      廣瀬三平
    • Organizer
      IMI短期共同研究「物理現象の演出可能な離散モデルの構築」
    • Place of Presentation
      九州大学
    • Year and Date
      2016-06-11
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 流体シミュレーションにおける様々な手法2016

    • Author(s)
      廣瀬三平
    • Organizer
      IMI短期共同研究「物理現象の演出可能な離散モデルの構築」
    • Place of Presentation
      九州大学
    • Year and Date
      2016-06-11
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Geometric Aspects of Painleve Equations: A Brief Introduction. II2016

    • Author(s)
      Kenji Kajiwara
    • Organizer
      NSF/CBMS Regional Research Conference on Discrete Painleve Equations
    • Place of Presentation
      Edinburg, USA
    • Year and Date
      2016-05-29
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometric Aspects of Painleve Equations: A Brief Introduction. I2016

    • Author(s)
      Kenji Kajiwara
    • Organizer
      NSF/CBMS Regional Research Conference on Discrete Painleve Equations
    • Place of Presentation
      Edinburg, USA
    • Year and Date
      2016-05-27
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 四元数Pfaffianについて2016

    • Author(s)
      太田泰広
    • Organizer
      応用解析研究会~可積分系から計算数学まで~
    • Place of Presentation
      天満研修センター(大阪府・大阪市)
    • Year and Date
      2016-05-21
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Chiral fields and Riemann-Hilbert problems, revisited2016

    • Author(s)
      井ノ口順一
    • Organizer
      応用解析研究会~可積分系から計算数学まで~
    • Place of Presentation
      天満研修センター(大阪府・大阪市)
    • Year and Date
      2016-05-02
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Quaternion Pfaffian --- an extension of quaternion determinant2016

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      Discrete Integrable Systems Workshop 2016
    • Place of Presentation
      Sanya, China
    • Year and Date
      2016-04-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] 解析学百科II 可積分系の数理2018

    • Author(s)
      中村佳正、高崎金久、辻本諭、尾角正人、井ノ口順一
    • Total Pages
      448
    • Publisher
      朝倉書店
    • ISBN
      9784254117271
    • Related Report
      2017 Annual Research Report
  • [Book] はじめて学ぶリー群-線型代数から始めよう2017

    • Author(s)
      井ノ口順一
    • Total Pages
      272
    • Publisher
      現代数学者
    • ISBN
      9784768704707
    • Related Report
      2017 Annual Research Report
  • [Book] はじめて学ぶリー環-線型代数から始めよう2017

    • Author(s)
      井ノ口順一
    • Total Pages
      280
    • Publisher
      現代数学者
    • ISBN
      9784768704714
    • Related Report
      2017 Annual Research Report
  • [Remarks]

    • URL

      http://researchmap.jp/Kenji_Kajiwara/

    • Related Report
      2018 Annual Research Report

URL: 

Published: 2016-04-21   Modified: 2021-02-19  

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