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Application of Soliton Theory to Engineering

Research Project

Project/Area Number 06302034
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field Engineering fundamentals
Research InstitutionUniversity of Tokyo

Principal Investigator

SATSUMA Junkichi  Univ. of Tokyo, Dept. of Math. Sci., Professor, 大学院・数理科学研究科, 教授 (70093242)

Co-Investigator(Kenkyū-buntansha) TAKAHASHI Daisuke  Ryukoku Univ., Fac. of Science and Engineering,, 理工学部, 助教授 (50188025)
TOKIHIRO Tetsuji  Univ. of Tokyo, Dept. of Math. Sci., Asoc. Prof., 大学院・数理科学研究科, 助教授 (10163966)
NAKAMURA Yoshimasa  Doshisha Univ., Fac. of Engineering, Professor, 工学部, 教授 (50172458)
WATANABE Shinsuke  Yokohama National Univ., Fac. of Engineering, Professor, 工学部, 教授 (60017936)
HIROTA Ryogo  Waseda Univ., Fac. of Science and Engineering, Professor, 理工学部, 教授 (00066599)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥5,400,000 (Direct Cost: ¥5,400,000)
Fiscal Year 1995: ¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 1994: ¥2,800,000 (Direct Cost: ¥2,800,000)
Keywordssoliton / integrability / QR method / cellular automaton / inverse scattering / Toda equation / Volterra system / system theory / 数列の加速
Research Abstract

The purpose of this research is to contribute to the development of engineering by applying the idea of soliton theory to the field. The following results are obtained through the research.
(1)Numerical Analysis : Relationship of discrete soliton equations with LR-and QR methods is investigated. It is shown that the symmetry properties of soliton equations are extracted from the LR method. Relationships with accelaration method and extrapolation formula are also studied and a new accelaration scheme is proposed.
(2)Engineering Mathematics : It is pointed out that the tau function in the soliton theory plays important roles also in the linear system theory, Karmarker method and information geometry. Moreover, it is revealed that the solutions of discrete Painleve equations are closely related to those of the Toda equation.
(3)Information Engineering : The structure of soliton cellular automata is clarified by employing a concept of "ultra-discrete limit". New insight on storage and compression of solitons in the discrete electrical circuit is also obtained.
(4)Structural Analysis : The possibility of existence of string solution for optical exiton is shown by applying the integrable property in the quantum spin system.

Report

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

    (110 results)

All Other

All Publications (110 results)

  • [Publications] K.Kajiwara: "Casorati Defcrminant Solutions for the Discrete Painleve-II equation" J.Phys.A27. 915-922 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Kakei: "Bilinearization of a Generalized Derivative Nonlinear Schrodinger Equation" J.Phys.Soc.Jpn.64-5. 1519-1523 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Kajiwara: "Casorati Determinant Solutions for the Discrete Painleve′-III Equation" J.Math.Phys.36-8. 4162-4174 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Nagai: "The Lotka-Voltevra Equations and the QR algorithm" J.Phys Soc.Jpn.64-10. 3669-3674 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Kajiwara: "Bilinear Discrete Painleve′-II and its Particular Solutions" J.Phys.A28. 3541-3548 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Ramani: "Bilinear Discrete Painleve′ Equations" J.Phys.A28. 4655-4665 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Nagai: "Discrete Soliton Equations and Convergence Acceleration Algorithms" Phys.Letter. A209. 305-312 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Torii: "Combinatorial Representation of Invariants of a Soliton Cellular Automaton" Physica. D92. 209-220 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] R.Hirota: "Discrete 2N-wave interaction" Gathematics and Computers in Simulation. 37. 371 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] R.Hirota: "Note on "New Coupled Integrable Dispersionless Equations"" J.Phys.Soc.Jpn.63. 3533 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] R.Hirota: "Conserved Quantities of a class of Nonlinear Diffenence-Diffcrence Equations" J.Phys.Soc.Jpn.64. 3125 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Kuniba: "Pfaffian and Determinant Solutions to Discretized Toda Equatious for Br,Cr,and Dr" J.Phys.A : Math Gen.(掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Zhang: "Magnetic leakage field due to sub-surface defects in ferromagnetic specimens" NDT & E International. 28. 67-71 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Watanabe: "Generation of a vortex ring with high Reynolds number by a exploding wire in water" J.Phy.Soc.Jpn.64. 3748-3757 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] I.S.Jang: "Formation process of a vortex ring by an exploding wine in water" J.Phys.Soc.Jpn.65. 462-467 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] I.S.Jang: "Impact of a vortex ring on a wall in high Reynolds number region" J.Phys.Soc.Jpn.65. (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "On the holonomic deformation of linear ordinary differential equations on an elliptic curve" Kyushu J.Math.49. 281-308 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "Algebraic relations among six adjacent r-functions related to the fourth Painleve'system" Kyushu J.Math.50. 513-532 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "Irreducibility of the second and the fourth Painleve equations" (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "Polynomial Hamiltonian strueture for the A_3 system" (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "On the fau-functions of the A_2 system" (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "An addition Formula for cot (x),Aitken-Steffensen Aeceleration,and Cauchy Matrix." (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Nakamura: "Stochastic Lax representations and random collision models" J.Phys.Soc.Japan. 63. 827-829 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Nakamura: "Lax pair and fixed paints analysis of Karmarkar's projective scaling trajectory flr linear programming" Japan J.Indust.Appl.Math. 11. 1-9 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Neurodynamics and nonlineiar integrable systems of Lax Type" Japan J.Indust.Appl.Math. 11. 11-20 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Gradient equations associated with probability distributions" Japan J.Indust.Appl.Math. 11. 21-30 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "On the discretization of the three-dimensional Volterra system" Phys.Lett. A193. 42-46 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "A tau-function of the finite nonperiodic Toda lattice" Phys.Lett. A195. 346-350 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "A tau-function for the finite Toda molecule,and information spaces" Contemp.Math.Amer.Math.Soc. 179. 205-211 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Moment problem of Hamburger,hierarchies of integrable systems,and the positivity of tau-functions" Acta.Appl.Math.39. 435-443 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form" Japan J.Indust・Appl.Math. (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "On explicitly solvable gradient systems of Moser Karmarker type" J.Moth.Anal.Appl. (掲載予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ezaki: "Excitonic n-string in one-dimensional Frenkel exciton systems" J.of Luminescence. 60,61. 805-808 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Suzuura: "High excitation emission spectra of one-dimensional Frenkel excitons" Phys.Rev.B49. 4344-4347 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Tokihiro: "Superradiance of Frenkel excitons with any degree of excitation prepaved by a short-pulse laser" Phys.Rev.B51. 7655-7668 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ezaki: "Correlation effects on optical absorption in mdecular chains with conformational disorder" Solid State Commun. 96. 73-78 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Tokihiro: "Effects of quasiperiodic grating on surface-plasmon bolariton" Solid State Commun. 96. 73-78 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] D.Takahashi: "On discrete soliton equations related to cellular antomata" Phys.Lett.A209. 184-188 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Torii.: "Combinatorial representation of invariants of a soliton cellular automaton" Physca. D92. 209-220 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Tokihiro: "From soliton equations to integrable cellular automata through a limiting procedure" Phys.Rev.Lett. 76. 3247-3250 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Kajiwara: "Casorati Determinant Solutions for the Discrete Painleve-II equation" J.Phys.A27. 915-922 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Kakei: "Bilinearization of a Generalized Derivative Nonlinear Schrodinger Equation" J.Phys.Soc.Jpn.64-5. 1519-1523 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Kajiwara: "Casorati Determinant Solutions for the Discrete Painleve-III Equation" J.Math.Phys.36-8. 4162-4174 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Nagai: "The Lotka-Volterra Equations and the QR algorithum" J.Phys.Soc.Jpn.64-10. 3669-3674 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Kajiwara: "Bilinear Discrete Painleve-II and its Particular Solutions" J.Phys.A28. 3541-3548 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Ramani: "Bilinear Discrete Painleve Equations" J.Phys.A28. 4655-4665 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Nagai: "Discrete Soliton Equations and Convergence Acceleration Algorithums" Phys.Letter. A209. 305-312 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Torii: "Combinatorial Representation of Invariants of a Soliton Cellular Automaton" Physica. D92. 209-220 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] R.Hirota: "Discrete 2N-wave interaction" Mathematics and Computers in Simulation. 37. 371 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] R.Hirota: "Note on "New Coupled Integrable Dispersionless Equations"" J.Phys.Soc.Jpn.63. 3533 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] R.Hirota: "Conserved Quantities of a class of Nonlinear Difference-Difference Equations" J.Phys.Soc.Jpn.64. 3125 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Kuniba: "Pfaffian and Determinant Solutions to Discretized Toda Equations for Br, Cr and Dr" J.Phys.A ; Math.Gen.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Zhang: "Magnetic Leakage field due to sub-surface defects in ferromagnetic specimens" NDT&E International. 28. 67-71 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Watanabe: "Generation of a vortex ring with high Reynolds number by a exploding wire in water" J.Phys.Soc.Jpn.64. 3748-3757 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] I.S.Jang: "Formation process of a vortex ring by an exploding wire in water" J.Phys.Soc.Jpn.65. 462-467 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] I.S.Jang: "Impact of a vortex ring on a wall in high Reynolds number region" J.Phys.Soc.Jpn.65(in press). (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "On the holonomic deformation of linear ordinary differential equations on an elliptic curve" Kyushu J.Math.49. 281-308 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "Algebraic relations among six adjacent tau-functions related to the fourth Painleve System" Kyushu J.Math.50. 513-532 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "Irreducibility of the second and the fourth Painleve equations" (preprint).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "Polynomial Hamiltonian structure for the A_3 system" (preprint).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "On the tau-functions of the A_2 system" (preprint).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Okamoto: "An addition Formula for cot (x), Aitken-Steffensen Acceleration, and Cauchy Matrix" (preprint).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Stochastic Lax representations and random collision models" J.Phys.Soc.Jpn.63. 827-829 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Lax pair and fixed points analysis of Karmarkar's projective scaling trajectory for linear programming" Japan J.Indust. Appl. Math.11. 1-9 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Neurodynamics and nonlinear integrable systems of Lax Type" Japan J.Indust. Appl. Math.11. 11-20 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Gradient equations associated with probability distributions" Japan J.Indust.Appl.Math.11. 21-30 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "On the discretization of the three-dimensional Volterra system" Phys. Lett. A. 193. 42-46 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "A tau-function of the finite nonpeciodic Toda lattice" Phys. Lett., A. 195. 346-350 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "A tau-function of the finite Toda molecule, and information spaces" Contemp. Math, Amer. Math. Soc.179. 205-211 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions" Acta.Appl.Math.39. 435-443 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "Jacobi algorithum for symmetric eigen-value problem and integrable gradient system of Lax form" Japan J.Indust. Appl Math. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Nakamura: "ON explicitly solvable gradient systems of Moser-Karmarker type" J.Math. Anal. Appl. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H,Ezaki: "Excitonic n-string in one-demensional Frenkel exciton systems" J.of Luminescence. 60&61. 805-808 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Suzuura: "High excitation emission spectra of one-dimensional Frenkel excitons" Phys.Rev.B49. 4344-4347 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ezaki: "Excitonic n-string in linear chains ; Electronic structure and optical properties" Phys.Rev.B50. 10506-10515 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Tokihiro: "Superradiance of Frenkel excitons with any degree of excitation prepared by a short-pulse laser" Phys.Rev.B51. 7655-7668 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ezaki: "Correlation effects on optical absorption in molecular chains with conformational disorder" Solid State Commun.96. 73-78 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Tokihiro: "Effects of quasiperiodic grating on surface-plasmon polariton" Solid State Commun.96. 73-78 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] D.Takahashi: "On discrete soliton equations related to cellular automata" Phys.Lett.A209. 184-188 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Torii: "Combinatorial representation of invariants of a soliton cellular automaton" Physca. D92. 209-220 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Tokihiro: "From soliton equation to integrable cellular automata through a limiting procedure" Phys. Rev. Lett.76. 3247-3250 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 永井 敦: "The Lotka-Volterra Eguations and the QR Algorithm" J. Phys. Soc. Jpn.64. 3669-3674 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 永井 敦: "Discrete Soliton Eguations and Convergence Accelaration Algorithm" Phys. Letter A. 209. 305-312 (1995)

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      1995 Annual Research Report
  • [Publications] 広田良吾: "Conserved Quantities of Elass of Nonlinear Difference-Difference Equations" J. Phys. Soc. Jpn.64. 3125-3129 (1995)

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      1995 Annual Research Report
  • [Publications] 薩摩順吉: "Bilinear Discrele Painleve'-II and its Particular Solutions" J. Phys. A. 28. 3541-3548 (1995)

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      1995 Annual Research Report
  • [Publications] 国場敦夫: "Pfaffian and Deferminant Solutions to Discretized Toda Equations for Br. Cr. Dr." J. Phys. A. (掲載予定).

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      1995 Annual Research Report
  • [Publications] 渡辺慎介: "Generation of a Vortex Ring with High Reynolds Number by an Erploding Wire in Water" J. Phys. Soc. Jpn.64. 3748-3757 (1995)

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      1995 Annual Research Report
  • [Publications] I. S. Jang: "Formation Process of a Vortex Ring by an Exphding Wire in Water" J. Phys. Soc. Jpn.65. 462-467 (1996)

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      1995 Annual Research Report
  • [Publications] 中村佳正: "Moment Problem of Hamburger, Hierarchies of Integrable Systems and the the Positivity of Tou-functions" Acta Appl. Math.39. 345-443 (1995)

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      1995 Annual Research Report
  • [Publications] 中村佳正: "Jacobi Algonithm for Symmetric Eigenvalue Problem and Integrable Gradient System of Lax Form" Japan J. Indust. Appl. Math.(掲載予定).

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      1995 Annual Research Report
  • [Publications] 中村佳正: "On Explicitly Solvable Gradient Systems of Moser-Karmaker type" J. Math. Aral. Appl. (掲載予定).

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      1995 Annual Research Report
  • [Publications] 時弘哲治: "Superradiance of Frenkel Excitions with any Degree of Excitations Prepared by a Short-Pulse Laser" Phys. Rev. B. 51. 7655-7668 (1995)

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      1995 Annual Research Report
  • [Publications] 江崎ひろみ: "Correlation Effects on Optical Absorption in Molecular Chains with Conformational Disorder" Solod State Commun. 96. 73-78 (1995)

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      1995 Annual Research Report
  • [Publications] 時弘哲治: "Effects of Quasiperiodic Grating on Surface-Plasmon Polariton" Solid State Commun. 96. 73-78 (1995)

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      1995 Annual Research Report
  • [Publications] 高橋大輔: "On Discrete Soliton Equations Related to Cellular Automata" Phys. Letter A. 209. 184-188 (1995)

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      1995 Annual Research Report
  • [Publications] 永井 敦: "Accelaration Methods and Discrefe Soliton Ezuations" 京都大学数理解析研究所 講交録. 933. 44-60 (1995)

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      1995 Annual Research Report
  • [Publications] 辻本 諭: "非線形差分方程式の保存量" 京都大学数理解析研究所 講交録. 933. 105-112 (1995)

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      1995 Annual Research Report
  • [Publications] 中村佳正: "確率分布族と直交多項式の可積分変形" 京都大学数理解析研究所 講交録. 933. 203-215 (1995)

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      1995 Annual Research Report
  • [Publications] 筧三郎: "非線形シュレ-ディンガー型方程式の双線形構造" 京都大学数理解析研究所講究録. 889. 101-112 (1994)

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      1994 Annual Research Report
  • [Publications] 梶原健司: "離散型パンルベ方程式とその周辺" 京都大学数理解析研究所講究録. 889. 124-137 (1994)

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      1994 Annual Research Report
  • [Publications] 辻本諭: "非線形可積分系の差分化とその現状" 京都大学数理解析研究所講究録. 889. 77-84 (1994)

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      1994 Annual Research Report
  • [Publications] Y.Nakamura: "On the disoretization of the three-dimensional Volferra system" Phys.Lett.A. 193. 42-46 (1994)

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      1994 Annual Research Report
  • [Publications] Y.Nakamura: "A tau-function for the finite Toda molecule,and information spaces" Contemp.Math.,Amer.Math.Soc. 179. (1994)

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      1994 Annual Research Report
  • [Publications] 中村佳正: "アルゴリズム・情報幾何・非線形可積分系" 京都大学数理解析研究所講究録. 889. 1-18 (1994)

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      1994 Annual Research Report
  • [Publications] H.Ezaki: "Excitonic n-string in linear chains:Electronic structure and optical properties" Phys.Rev.B. 50. 10506-10515 (1994)

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      1994 Annual Research Report
  • [Publications] T.Tokihiro: "Superradiance of Frenkel excitons with any degree of excitation" Phys.Rev.B. (掲載予定).

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      1994 Annual Research Report
  • [Publications] T.Tokihiro: "Time response of polaritons in small system by ultra-short pulse excitation" Jpn.J.Appl.Phys.(掲載予定).

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      1994 Annual Research Report
  • [Publications] H.Ezaki: "Optical absorption of molecular chains with conformational disorder" Jpn.J.Appl.Phys.(掲載予定).

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      1994 Annual Research Report
  • [Publications] R.Hirota: "Note on "New Coupled Integrable Dispersionless Equations"" J.Phys.Soc.Jpn. 63. 3533- (1994)

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      1994 Annual Research Report
  • [Publications] R.Hirota: "Discrete 2N-Wave interaction" Mathematics and Computers in Simulation. 37. 371-383 (1994)

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      1994 Annual Research Report

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

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