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Dynamical Problems in Soliton Systems

Proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27–31, 1984

  • Conference proceedings
  • © 1985

Overview

Editors:
  1. Shozo Takeno

    1. Department of Physics, Faculty of Engineering and Design, Kyoto Institute of Technology, Matsugasaki, Kyoto 606, Japan

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Part of the book series: Springer Series in Synergetics (SSSYN, volume 30)

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Table of contents (40 papers)

  1. Front Matter

    Pages I-XIII
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  2. Introduction

    1. Introduction

      • Miki Wadati
      Pages 1-3

  3. Mathematical Theory of Solitons

    1. Front Matter

      Pages 5-5
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    2. Some Aspects of Soliton Dynamics

      • M. Toda
      Pages 6-11

    3. Approximations for the Inverse Scattering Transform

      • D. J. Kaup
      Pages 12-22

    4. Hamiltonian Structures of Soliton Equations via Constrained Variational Calculus

      • Tu Gui-zhang
      Pages 23-29

    5. Perturbative Studies of the Zakharov-Shabat Scattering Problem

      • Z. V. Lewis, J. N. Elgin, K. J. Blow, N. J. Doran
      Pages 30-35

    6. The Zabolotskaya-Khokhlov Equation and the Inverse Scattering Problem of Classical Mechanics

      • John Gibbons
      Pages 36-41

    7. Fundamental Properties of the Binary Operators in Soliton Theory and Their Generalization

      • R. Hirota
      Pages 42-49

    8. On an Exactly Solvable Nonlinear Diffusion Equation

      • Junkichi Satsuma
      Pages 50-54

    9. Hirota’s Method and the Painlevé Property

      • J. D. Gibbon, M. Tabor
      Pages 55-61

    10. A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity Analysis

      • Hitoshi Harada, Shin’ichi Oishi
      Pages 62-66

  4. Field Theory and Statistical Mechanics of Solitons

    1. Front Matter

      Pages 67-67
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    2. Quantum Inverse Scattering Method

      • Miki Wadati
      Pages 68-80

    3. Yang-Baxter Algebras and Integrable Models in Field Theory and Statistical Mechanics

      • H. J. de Vega
      Pages 81-88

    4. Solitons in the Quantum Toda Lattice

      • Franz G. Mertens, Manfred Hader
      Pages 89-92

    5. Recent Progress in Quantum Inverse Scattering Method — Baxter Hierarchy and Its Applications

      • K. Sogo
      Pages 93-98

    6. Quantum Three Wave Interaction Models: Bethe Ansatz and Statistical Mechanics

      • Kenji Ohkuma
      Pages 99-104

    7. Quantum and Classical Statistical Mechanics of the Non-Linear Schrödinger, Sinh-Gordon and Sine-Gordon Equations

      • R. K. Bullough, D. J. Pilling, J. T. Timonen
      Pages 105-114

    8. Classical Statistical Mechanics of Integrable Systems

      • Nikos Theodorakopoulos
      Pages 115-121
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Keywords

Editors and Affiliations

  • Department of Physics, Faculty of Engineering and Design, Kyoto Institute of Technology, Matsugasaki, Kyoto 606, Japan

    Shozo Takeno

Bibliographic Information

  • Book Title: Dynamical Problems in Soliton Systems

  • Book Subtitle: Proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27–31, 1984

  • Editors: Shozo Takeno

  • Series Title: Springer Series in Synergetics

  • DOI: https://doi.org/10.1007/978-3-662-02449-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • Softcover ISBN: 978-3-662-02451-5Published: 22 December 2012

  • eBook ISBN: 978-3-662-02449-2Published: 14 March 2013

  • Series ISSN: 0172-7389

  • Series E-ISSN: 2198-333X

  • Edition Number: 1

  • Number of Pages: XIII, 284

  • Number of Illustrations: 43 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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