Lectures on Integrable Systems

Released on by Jens Hoppe
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  • Lectures on Integrable Systems Book Detail

  • Author : Jens Hoppe
  • Release Date : 2008-09-15
  • Publisher : Springer Science & Business Media
  • Genre : Science
  • Pages : 109
  • ISBN 13 : 3540472746
  • File Size : 74,74 MB
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Lectures on Integrable Systems by Jens Hoppe PDF Summary

Book Description: 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.

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