• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Theory and Applications of Nonlinear Dynamical Systems

Research Project

Project/Area Number 06044054
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionJoint Research
Research InstitutionUniversity of Tokyo

Principal Investigator

WADATI Miki  Graduate School of Science, Univ.of Tokyo, Professor, 大学院・理学系研究科, 教授 (60015831)

Co-Investigator(Kenkyū-buntansha) SEGUR Harvey  Program in Applied Mathematics, Univ.of Colorado, Professor, 応用数学, 教授
ABLOWITZ Mark  Program in Applied Mathematics, Univ.of Colorado, Professor, 応用数学, 教授
NAGAO Taro  Faculty of Science, Univ.of Osaka, Research Associate, 理学部, 助手 (10263196)
HIKAMI Kazuhiro  Graduate School of Science, Univ.of Tokyo, Research Associate, 理学系・研究科, 助手 (60262151)
IIZUKA Takeshi  Faculty of Science, Univ.of Ehime, Research Associate, 理学部, 助手 (10263922)
DEGUCHI Tetsuo  Faculty of Science, Univ.of Ochanomizu, Assistant Professor, 理学部, 助教授 (70227544)
YAJIMA Tetsu  Graduate School of Engineering, Univ.of Tokyo, Research Associate, 工学部, 助手 (40230198)
SEGUR H.  コロラド大学, 応用数学, 教授
ABLOWITZ M.J  コロラド大学, 応用数学, 教授
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥8,400,000 (Direct Cost: ¥8,400,000)
Fiscal Year 1995: ¥4,300,000 (Direct Cost: ¥4,300,000)
Fiscal Year 1994: ¥4,100,000 (Direct Cost: ¥4,100,000)
KeywordsSoliton / Integrable system / Inverse scattering method / Yangian / Geometrical model / Quanturi integrable system / Nonlinear wave / Discrete integrable system / Nonlinear Schrodinger equation / 光ソリトン / W-代数 / カロジェロ系 / ヤン・バクスター関係式 / 面の運動
Research Abstract

Theory and Applications of Nonlinear Dynamical Systems
In this project.a main theme is the analysis of nonlinear dynamical systems with large degrees of freedom which appear in various fields of physics. The followings are summary of the results.
1. Quantum integrable systems with long-range interactions
We have developped the quantum inverse scattering method for onedimensional quantum particle systems with long-range interactions. Integrabilities of the Calogero-Moser model and the Sutherland model are proved. Those models are extended so as to include internal degrees of freedom (spins). The Dunkl operator approach and the exchange operator approach are also clarified.
2. Geometrical models
The purposes are two folds. One is the extension of the soliton systems to higher-dimensional ones and the other is a general setting for descriptions of geometrical objects in physics. We have developped the level-set formulation of the surfaces in arbitrary space-dimension. Special solutions of the curve-lengthening equation which generalize the Saffman-Taylor finger solution are found.
3. Discrete dynamical models
The geometrical models are extended into the discrete curves and the discrete surfaces. The relations with descrete integrable systems (the discrete Modified K-dV hierarchy) are found.
4. Two-dimensional integrable systems
The Davey-Stewartson equation which is considered to be a two-dimensional extension of the nonlinear Schrodinger equation is studied numerically. The stability of dromions and the role of the mean flows are clarified.
5. Random Knotting
As a model for polymers, topological configurations of random walks are investigated. Probability of a knot K as a function of the length N.P (K.N).is determined by numerical experiments. The proposed formula for B (K.N) agrees well with the numerical results.

Report

(2 results)
  • 1995 Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (94 results)

All Other

All Publications (94 results)

  • [Publications] F.Gohmann: "A note on inverse-square exchange models" Journal of Physical Society of Japan. 64. 3585-3588 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Integrable dynamics of discrete surfaces" Journal of Physical Society of Japan. 64. 4129-4134 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "Exclusion statistics interpretation of the quantum Calogero model" Journal of Physical Society of Japan. 64. 4064-4068 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "Correspondence between QISM and Exchange Operator Formalism" Journal of Physical Society of Japan. 64. 4121-4128 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Murakami: "Completeness of Bethe Ansatz States in One-Dimensional δ-Function Fermions" Journal of Physical Society of Japan. 64. 4371-4382 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shiroishi: "Tetrahedral Zamolodchikov Algehra Related to the Six-Vertey Free-Fermion Model and a New Solution of the Yang-Baxter Equation" Journal of Physical Society of Japan. 64. 4598-4608 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "Algebraic approach to the eigenstates of the Quantion Calogero model confined in an external harmonic well" Chaos,Solitons & Fractals. 5. 109-118 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Murakami: "Bethe ansatz δ-function fermions in an infinite interval" Chaos,Solitons & Fractals. 5. 2509-2526 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Motion of Discrete Surfaces" Journal of Physical Society of Japan. 64. 2252-2256 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Motion of discrete curves in the plane" Journal of Physical Society of Japan. 64. 2390-2393 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shiroishi: "Decorated stor-triangle relations for the free fermion model and a new solvable bilayer vertex model" Journal of Physical Society of Japan. 64. 2798-2816 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "Orthogonal symmetric polynomials associated with the quantum Calogero model" Journal of Physical Society of Japan. 64. 2703-2706 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nakayama: "On the level-set formulation of geometrical models" Journal of Physical Society of Japan. 64. 403-407 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Integrable multi-component hybrid nonlinear Schrodinger equation" Journal of Physical Society of Japan. 64. 408-413 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Inhomogeneous model for DNA dynamics" Journal of Physical Society of Japan. 64. 1098-1103 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nakayama: "Deaction diffusion system in a curved space and the KPZ equation" Journal of Physical Society of Japan. 64. 1501-1505 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Wadati: "Thermal Bethe ansatz and fractional statistics" Journal of Physical Society of Japan. 64. 1552-1556 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Dynamics of breather models in a nonlinear model of DNA with discontinuity" Journal of Physical Society of Japan. 64. 1910-1916 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Representations of motif.New aspect of Rogers-Szego polynomial" Journal of Physical Society of Japan. 64. 1047-1050 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Yangian Symmetry and Virasoro character in lattice spin system with long-range interactions" Nuclear Physics B. 441. 530-548 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Simple construction of the elliptic boundary K-matrix" Physics Letters A. 205. 167-172 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shiroishi: "Yang-Baxter Equation for the R-Matrix of the One-demensional Hubbard Model" Journal of Physical Society of Japan. 64. 57-63 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "The SU(D)quantum Calogero model and the Woo algehra with SU(ν)symmetry" Journal of Physical Society of Japan. 64. 39-56 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Mori: "Dilute and semi-dilute solutions of polymerized membrane" Journal of Physical Society of Japan. 64. 64-77 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Yajima: "The Davey-Stewartson equation with perturbation due to inhomogeneity" Journal of Physical Society of Japan. 64. 1036-1037 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Yajima: "Derivative nonlinear Schrodinger type equations with multiple components and their solutions" Journal of Physical Society of Japan. 64. 1901-1909 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Tsurusaki: "Fractions of particular knots in gocussian random polymers" Journal of Physical Society of Japan. 64. 1906-1918 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Gaudin magnets with boundary and generalized Knizhnik-Zamolodchikov equation" Journal of Physics A. 28. 4997-5007 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Character and TBA for an ideal g-on gas" Physics Letters A. 205. 364-368 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Separation of variables in the BC-type Gaudin magnet" Journal of Physics A. 28. 4053-4061 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Nagao: "Universal Correlations Near a Singularity of Random Matrix Spectrum" Journal of Physical Society of Japan. 64. 3675-3681 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Iizuka: "Envelope Soliton of the Bloch Wave in Nonlinear Periodic Lattices" Journal of Physical Society of Japan. 64. 3215-3225 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nishinari: "Numerical Analyses of the Collision of Localized Structures in the Davey-Stemartson equation" Physical Review E. 5B. 4986-4993 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nakayama: "Curve Lengthening Equation and its Solution" Journal of Physical Society of Japan. 63. 1311-1321 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Coupled Hybrid Nonlinear Schrodinger Equation and Optical Solitons" Journal of Physical Society of Japan. 63. 2887-2894 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Nakao: "A useful Auxiliary Linear System for Davey-Stewartson Hierarchy" Physics Letters A. 191. 77-80 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] D.Bernard: "New Developments of Integrable Systems with Long-range interaction models,ed.by M.L.Ge and Y.S.Wu" World Scientific Publishing, 9 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nakayama: "Fluctuation phenomena,Disorder and Nonlinearity ed.by A.R.Bishop et al." World Scientific Publishing, 7 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "New Developments of Interable Systems and Long-range interactions models,ed. M.L.Ge and Y.S.Wu" World Scientific Publishing, 16 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Deguchi: "Braid Group,Knot Theory and Statistical Mechanics II ed.C.N.Yang and M.L.Ge" World Scientific Publishing, 50 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Wadati: "Important Developments in Soliton Theory,ed.A.S.Fokas and V.E.Zakharov" Springer-Verlag, 19 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nakayama: "On the level-set formulation of geometrical models" Journal of Physical Society of Japan. 64. 403-407 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Integrable multi-component hybrid nonlinear Schrodinger equation" Journal of Physical Society of Japan. 64. 408-413 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Inhomogeueous model for DNA dynamics" Journal of Physical Society of Japan. 64. 1098-1103 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nakayama: "Reaction diffasion system in a curved space and the KPZ equation" Journal of Physical Society of Japan. 64. 1501-1505 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Wadati: "Thermal Bethe ansatz and fractional statistics" Journal of Physical Society of Japan. 64. 1552-1556 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Dynomics of breather raodes in a nonlinear model of DNA with discontinuity" Journal of Physical Society of Japan. 64. 1910-1916 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Reprosentations of motif.New aspect of Rogers-Szego polynomial" Journal of Physical Society of Japan. 64. 1047-1050 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Yangian symmetry and Virasoro character in lattice spin system with long-range interaction" Nuclear Physics B. 441. 530-538 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Simple construction of the elliptic boundary K-matrix" Physics Letters A. 205. 167-172 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shiroishi: "Yang-Baxter equation for the R-matrix of the one-dimensional Hubbard mudel" Journal of Physical Society of Japan. 64. 57-63 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "The SU (nu) quantum Calogero model and the Was algebra with SU (nu) symmetry" Journal of Physical Society of Japan. 64. 39-56 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Mori: "Dilute and semi-dilute solutions of polymerized membrane" Journal of Physical Society of Japan. 64. 64-77 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "Algebraic approach to the eigenstates of the quantum Calogero model confined in the external harmonic well" Chaos, Solitons & Fractals. 5. 109-118 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Murakami: "Be the ansatz of S-function fermions in an infinite interval" Chaos, Solitons & Fractals. 5. 2509-2528 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Motion of Discrete Surfaces" Journal of Physical Society of Japan. 64. 2252-2256 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Motion of discrete ourves in the plane" Journal of Physical Society of Japan. 64. 2390-2393 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shiroishi: "Pecorated star-triangle relations for the free fermion mudel and a new solvable bilayr verter model" Journal of Physical Society of Japan. 64. 2748-2816 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "Orthogonal symmetric polynomials associated with the quantum Calogero model" Journal of Physical Society of Japan. 64. 2703-2706 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Yajima: "The Davey-Stewartson equation with pertur bation due to inhomogeneity" Journal of Physical Society of Japan. 64. 1036-1037 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Yajima: "Derivative honlinear Schrodinger type equations with multiple components and their solutions" Journal of Physical Society of Japan.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Tsurusaki: "Fractions of particular knots in gaussian random polymers" Journal of Physical Society of Japan. 64. 1906-1918 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Gandin magnets with boundary and genera lized Knizhnik-Zamolodehikov equation" Journal of Physics A. 28. 4997-5007 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Character and TBA for an ideal g-on gas" Physics Letters A. 205. 364-368 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: "Separation of variables in the BC-type Gandin magnets" Journal of Physics A. 28. 4053-4061 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] F.Gohmann: "A note on inverse-square exchange models" Journal of Physical Society of Japan. 64. 3585-3588 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Integrable dynamics of discrete surfaces" Journal of Physical Society of Japan. 64. 4129-4134 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "Exclusion statistics interpretation of the quantum calogero model" Journal of Physical Society of Japan. 64. 4064-4068 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ujino: "Correspondence between QISM and exchargeoperator formalism" Journal of Physical Society of Japan. 64. 4121-4128 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Murakami: "Completeness of Bethe ansatz states in one-dimensional delta-function fermions" Journal of Physical Society of Japan. 64. 4371-4382 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shiroishi: "Tetrahedrol Zamolodchikov algebra related to the six-vertey free-fermion model and a new solution to the Yang-Baxter equation" Journal of Physical Society of Japan. 64. 4598-4608 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Nagao: "Universcal Correlations Near a Singularity of Random Matrix Spectrum" Journal of Physical Society of Japan. 64. 3675-3681 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Iizuka: "Envelope soliton of Bloch waves in nonlinear periodic lattices" Journal of Physical Society of Japan. 64. 3215-3225 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nishinari: "Numerical aralyses of the collisions of localized structures in the Davey-Stewartson equation" Physical Review E. 5B. 4986-4993 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nakayama: "Curve lergthening equation and its solution" Journal of Physical Society of Japan. 63. 1311-1321 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Hisakado: "Coupled hybrid nonlinear Schrodinger equation and optical solitons" Journal of Physical Society of Japan. 63. 2887-2894 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Nakao: "A useful auxiliary lihear system for Davey-Stewartson hierarchy" Physics Letters A. 191. 77-80 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Miki Wadati: Springer-Verlag. Important Developments in Soliton Theory, 468-486 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] D.Bernard: World Scientific. New Developments of Integrable Systems and Long-ranged Interaction Models, 1-9 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hikami: World Scientific. New Developments of Integrable Systems with Long-ranged Interaction Models, 143-158 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Deguchi: World Scientific. Braid Group, Krot Theory and Statistical Mechanics, 20-69 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Nakao: "A usuful auxiliary linear system for Davey-Stewarson hierarcy" Phys.Lett.A. 191. 77-86 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Nakayama: "Curve legthening equation and its solutions" J.Phys.Soc.Jpn.63. 1311-1321 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] M.Hisakado: "Coupled hybrid nonlinear Schro-dinger equation and optical solotons" J.Phys.Soc.Jpn.63. 2887-2894 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Mizuta: "Correlation length for the XXZ spin chain at tinite temperature" J.Phys.Soc.Jpn.63. 3951-3961 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Hikami: "On additional symmetry,the many-body problem related to the KP hierarchy" Phys.Lett.A. 191. 87-90 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] M.Wadati: "Thermal Bethe ansatz and fractional statistics" J.Phys.Soc.Jpn.64(in press). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Hikami: "Integrable systems with long-range inteructions,W_∞ algebra and energy spectrum" Phys.Rev.Lett.73. 1191-1194 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] K.Hikami: "Integral representation for the eigenstates of the spin system with inverse square interactions" J.Phys.A:Math.Gen.27. 541-546 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Ujino: "The SU(υ) quantum Calogers model and W_∞ algebra with SU(υ) symmctry" J.Phys.Soc.Jpn.64. 39-56 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] M.Shiroishi: "Yang-Baxter equation for the R-matrix of the one-dimensional Hubhard model" J.Phys.Soc.Jpn.64. 57-63 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] S.Mori: "Dilute and semi-dilute solutious of randomly polymerized membranes" J.Phys.Soc.Jpn.64. 64-77 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] S.Mori: "Crumpled phases of self-avoiding randomly polymerized membranes" Phys.Rev.E. 50. 867-875 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Deguchi: "Braid Group,Knot Theory and Statistical Mechanics II Ed.C.N.Yang and M.L.Ge" World Scientific, 50 (1994)

    • Related Report
      1994 Annual Research Report

URL: 

Published: 1994-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi