Lectures on Integrable Systems: 10 (Lecture Notes in Physics Monographs) - Hardcover

Hoppe, Jens

 
9783540557005: Lectures on Integrable Systems: 10 (Lecture Notes in Physics Monographs)

Inhaltsangabe

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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Reseña del editor

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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Weitere beliebte Ausgaben desselben Titels

9783662138823: Lectures on Integrable Systems: 10 (Lecture Notes in Physics Monographs)

Vorgestellte Ausgabe

ISBN 10:  3662138824 ISBN 13:  9783662138823
Verlag: Springer, 2014
Softcover