Lectures on Integrable Systems

Lectures on Integrable Systems

by Jens Hoppe
     
 

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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.

Overview

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.

Product Details

ISBN-13:
9783662138823
Publisher:
Springer Berlin Heidelberg
Publication date:
08/31/2014
Series:
Lecture Notes in Physics Monographs Series , #10
Edition description:
Softcover reprint of the original 1st ed. 1992
Pages:
111
Product dimensions:
6.69(w) x 9.61(h) x 0.25(d)

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