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Soliton Theory and Its Applications

  • Chaohao Gu

Table of contents

  1. Front Matter
    Pages i-xii
  2. Boling Guo
    Pages 1-68
  3. Yishen Li
    Pages 69-121
  4. Cewen Cao
    Pages 152-191
  5. Chou Tian
    Pages 192-229
  6. Guizhang Tu
    Pages 230-296
  7. Hesheng Hu
    Pages 297-336
  8. Benyu Guo
    Pages 337-362
  9. Back Matter
    Pages 392-403

About this book

Introduction

Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc..
This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Bäcklund transformations, finite-dimensional completely integrable systems, symmetry, Kac-Moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the author and his collaborators, are presented.
This book has been written for specialists, as well as for teachers and students in mathematics and physics.

Keywords

Gravity Soliton bäcklund transformation differential equation fluid mechanics geometry integrable system inverse scattering method mathematical physics mechanics numerical analysis scattering symmetry transformation

Editors and affiliations

  • Chaohao Gu
    • 1
  1. 1.Institute of MathematicsFudan UniversityShanghaiThe People’s Republic of China

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03102-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08177-4
  • Online ISBN 978-3-662-03102-5
  • Buy this book on publisher's site
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