Hamiltonian Methods in the Theory of Solitons

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 Schrödinger equation, rather than the (more usual) KdV equation, is considered as a main example. The in...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Faddeev, Ludwig (Autor), Takhtajan, Leon (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Classics in Mathematics,
Temas:
Mathematical physics.
Differential equations.
Integral equations.
Global analysis (Mathematics).
Manifolds (Mathematics).
Theoretical, Mathematical and Computational Physics.
Differential Equations.
Integral Equations.
Global Analysis and Analysis on Manifolds.
Acceso en línea:Texto Completo
Descripción
Sumario: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 Schrödinger 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.
Descripción Física:IX, 592 p. online resource.
ISBN:9783540699699
ISSN:2512-5257

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