Lectures on Integrable Systems

  • Jens Hoppe

Part of the Lecture Notes in Physics Monographs book series (LNPMGR, volume 10)

About this book

Introduction

Mainly drawing on explicit examples, the author introduces the reader to themost recent techniques to study finite and infinite dynamical systems. Without any knowledge of differential geometry or lie groups theory the student can follow in a series of case studies the most recent developments. r-matrices for Calogero-Moser systems and Toda lattices are derived. Lax pairs for nontrivial infinite dimensionalsystems are constructed as limits of classical matrix algebras. The reader will find explanations of the approach to integrable field theories, to spectral transform methods and to solitons. New methods are proposed, thus helping students not only to understand established techniques but also to interest them in modern research on dynamical systems.

Keywords

Dynamische Systeme Hamiltonian Hamiltonian mechanics Integrierbare Systeme differential geometry dynamical system dynamical systems geometry integrable system mechanics n-body problem solution

Authors and affiliations

  • Jens Hoppe
    • 1
  1. 1.Institute for Theoretical PhysicsKarlsruhe UniversityKarlsruheGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-47274-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-55700-5
  • Online ISBN 978-3-540-47274-2
  • Series Print ISSN 0940-7677
  • About this book