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Solitons

Introduction and Applications

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Muthusamy Lakshmanan

    1. Department of Physics, Bharathidasan University, Tiruchirapalli, India

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Part of the book series: Springer Series in Nonlinear Dynamics (SSNONLINEAR)

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Table of contents (24 papers)

  1. Front Matter

    Pages I-IX
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  3. Mathematical Theory: IST, Symmetries, Singularity Structure and Integrability

    1. Front Matter

      Pages 43-43
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    2. Topics Associated with Nonlinear Evolution Equations and Inverse Scattering in Multidimensions

      • M. J. Ablowitz
      Pages 44-62

    3. Inverse Problems and a Unified Approach to Integrability in 1, 1+1 and 2+1 Dimensions

      • A. S. Fokas, V. Papageorgiou
      Pages 63-85

    4. Gauge Unification of Integrable Nonlinear Systems

      • A. Kundu
      Pages 86-104

    5. Prolongation Structure in One and Two Dimensions

      • A. Roy Chowdhury
      Pages 105-117

    6. Integrable Equations in Multi-Dimensions (2+1) are Bi-Hamiltonian Systems

      • A. S. Fokas, P. M. Santini
      Pages 118-144

    7. Painlevé Analysis and Integrability Aspects of Nonlinear Evolution Equations

      • M. Lakshmanan, K. M. Tamizhmani
      Pages 145-161

    8. Generalised Burgers Equations and Connection Problems for Euler-Painlevé Transcendents

      • P. L. Sachdev
      Pages 162-175

    9. Bäcklund Transformations and Soliton Wave Functions

      • J. A. Rao, A. A. Rangwala
      Pages 176-183

    10. Comparison of Some Numerical Schemes for the K-dV Equation

      • A. Hasan, M. S. Kalra
      Pages 184-187

    11. K-dV Like Equations with Domain Wall Solutions and Their Hamiltonians

      • Bishwajyoti Dey
      Pages 188-194

  4. Lattice Solitons

    1. Front Matter

      Pages 195-195
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    2. Lattice Solitons and Nonlinear Diatomic Models

      • P. C. Dash
      Pages 196-211

    3. Recent Results in Toda Lattice

      • Z. Popowicz
      Pages 212-225

    4. Construction of Exact Invariants for One- and Two-Dimensional Classical Systems

      • R. S. Kaushal
      Pages 226-232

    5. Nonlinear Chains and Kink-Impurity Interactions

      • Bishwajyoti Dey
      Pages 233-238
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Keywords

About this book

A good deal of the material presented in this book has been prepared by top experts in the field lecturing in January 1987 at the Winter School on Solitons in Tiruchirapalli,India. The lectures begin at an elementary level but go on to include even the most recent developments in the field. The book makes a handy introduction to the various facets of the soliton concept, and will be useful both to newcomers to the field and to researchers who are interested in developments in new branches of physics and mathematics.

Editors and Affiliations

  • Department of Physics, Bharathidasan University, Tiruchirapalli, India

    Muthusamy Lakshmanan

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