T�tulo: Lectures on Integrable Systems (Lecture Notes in Physics Monographs)
Editor: Springer
Fecha de publicaci�n: 2014
Idioma: Ingl�s
ISBN 10: 3662138824
ISBN 13: 9783662138823
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: New

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Sinopsis

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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