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Theory of Nonlinear Lattices

  • Textbook
  • © 1989

Overview

Authors:
  1. Morikazu Toda

    1. Shibuya-ku, Tokyo 151, Japan
      Tokyo University of Education, Japan

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Part of the book series: Springer Series in Solid-State Sciences (SSSOL, volume 20)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    • Morikazu Toda
    Pages 1-13

  3. The Lattice with Exponential Interaction

    • Morikazu Toda
    Pages 14-41

  4. The Spectrum and Construction of Solutions

    • Morikazu Toda
    Pages 42-97

  5. Periodic Systems

    • Morikazu Toda
    Pages 98-146

  6. Application of the Hamilton-Jacobi Theory

    • Morikazu Toda
    Pages 147-158

  7. Recent Advances in the Theory of Nonlinear Lattices

    • Morikazu Toda
    Pages 159-176

  8. Back Matter

    Pages 177-225
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Keywords

About this book

Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. This new edition updates the material to take account of important new advances.

Authors and Affiliations

  • Shibuya-ku, Tokyo 151, Japan

    Morikazu Toda

  • Tokyo University of Education, Japan

    Morikazu Toda

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