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Integrability

  • Alexander V. Mikhailov

Part of the Lecture Notes in Physics book series (LNP, volume 767)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. A.V. Mikhailov
    Pages 1-15
  3. A. Shabat
    Pages 139-173
  4. Y. Hiraoka, Y. Kodama
    Pages 175-214
  5. Back Matter
    Pages 325-339

About this book

Introduction

This is a unique collection of lectures on integrability, intended for graduate students or anyone who would like to master the subject from scratch, and written by leading experts in the field including Fields Medallist Serge Novikov. Since integrable systems have found a wide range of applications in modern theoretical and mathematical physics, it is important to recognise integrable models and, ideally, to obtain a global picture of the integrable world. The main aims of the book are to present a variety of views on the definition of integrable systems; to develop methods and tests for integrability based on these definitions; and to uncover beautiful hidden structures associated with integrable equations.

Keywords

Conservation laws Integrable systems Painleve property Solitons Symmetries differential equation mathematical physics wave equation

Editors and affiliations

  • Alexander V. Mikhailov
    • 1
  1. 1.School of Mathematics Applied Mathematics DepartmentUniversity of LeedsLeedsUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-88111-7
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-88110-0
  • Online ISBN 978-3-540-88111-7
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site