Mathematics-Dynamical Systems

Hamiltonian methods in the theory of solitons

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Title (user) : Hamiltonian methods in the theory of solitonsISBN : 3540698434,9783540698432ISSN : 1431-0821OpenLibrary ID : OL9835274MSeries : Classics in mathematicsAuthors (user) : Ludvig D. Faddeev, Leon Takhtajan, A.G. ReymanPublisher : SpringerLanguage : EnglishPublication...
Description

Title (user) : Hamiltonian methods in the theory of solitons

ISBN : 3540698434,9783540698432

ISSN : 1431-0821

OpenLibrary ID : OL9835274M

Series : Classics in mathematics

Authors (user) : Ludvig D. Faddeev, Leon Takhtajan, A.G. Reyman

Publisher : Springer

Language : English

Publication Date : 2007

Scanned : yes (299 DPI)

File Format : djvu


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Description (user) :

The main characteristic of this now classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schr?dinger equation, rather than the (more usual) KdV equation, is considered as a main example. The investigation of this equation forms the first part of the book. The second part is devoted to such fundamental models as the sine-Gordon equation, Heisenberg equation, Toda lattice, etc, the classification of integrable models and the methods for constructing their solutions.

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