• 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


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.


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

Industry Sectors
IT & Software