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Lectures on integrable syst...
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
Monografía
monografia Rebiun17631662 https://catalogo.rebiun.org/rebiun/record/Rebiun17631662 m o d cr ||||||||||| 081105s1992 gw a ob 000 0 eng d 9783540472742 electronic bk.) 3540472746 electronic bk.) 3540557008 9783540557005 0387557008 9780387557007 SPLNP. eng. pn. SPLNP. GW5XE. OCLCQ. GW5XE. OCLCF. OCLCQ. ES-VaUB 531/.11 20 Hoppe, Jens 1956-) Lectures on integrable systems Recurs electrònic] Jens Hoppe Berlin New York Springer-Verlag 1992 Berlin New York Berlin New York Springer-Verlag 1 recurs electrònic (111 pages) illustrations 1 recurs electrònic (111 pages) Lecture notes in physics. New series m, monographs 0940-7677 m10 Includes bibliographical references 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 Dynamics Mathematical physics Dynamics. fast Mathematical physics. fast Llibres electrònics Lecture notes in physics. New series m Monographs m10 SpringerLink eBooks