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Integrable Hamiltonian Hier...

Integrable Hamiltonian Hierarchies [Spectral and Geometric Methods

Gerdjikov, V.S.

Springer Berlin Heidelberg 2008

This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their Hamiltonian hierarchies. Thus it is demonstrated that the inverse scattering method for solving soliton equations is a nonlinear generalization of the Fourier transform.The book brings together the spectral and the geometric approaches and as such will be useful to a wide readership: from researchers in the field of nonlinear completely integrable evolution equations to graduate and post-graduate students

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Physics Global analysis (Mathematics) Geometry Mathematical physics Physics Mathematical Methods in Physics Analysis Mathematical and Computational Physics Geometry Physics, general

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monografia Rebiun09197467 https://catalogo.rebiun.org/rebiun/record/Rebiun09197467 100301s2008 gw | s |||| 0|eng d 9783540770541 978-3-540-77054-1 9783540770534 ed. impresa) UM0777930 UMA.RE Gerdjikov, V.S. Integrable Hamiltonian Hierarchies Recurso electrónico] Spectral and Geometric Methods edited by V.S. Gerdjikov, G. Vilasi, A.B. Yanovski Servicio en línea Berlin, Heidelberg Springer Berlin Heidelberg 2008 Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg digital Lecture Notes in Physics 0075-8450 748 Introduction -- Lax Representation and AKNS Approach -- The Direct Scattering Problem -- The Inverse Scattering Problem -- The Generalized Fourier Transforms -- Fundamental Properties of the Solvable NLEEs -- Hierarchies of Hamiltonian Structures -- The NLEEs and Gauge Transformations -- The Classical R-Matrix Method -- Smooth Manifolds -- Hamiltonian Dynamics -- Vector-Valued Differential Forms -- Integrability and Nijenhuis Tensors -- Poisson-Nijenhuis Structures Related to GZS System -- Linear Bundles of Lie Algebras and Compatible Poisson Structures Acceso restringido a miembros del Consorcio de Bibliotecas Universitarias de Andalucía This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their Hamiltonian hierarchies. Thus it is demonstrated that the inverse scattering method for solving soliton equations is a nonlinear generalization of the Fourier transform.The book brings together the spectral and the geometric approaches and as such will be useful to a wide readership: from researchers in the field of nonlinear completely integrable evolution equations to graduate and post-graduate students Modo de acceso: World Wide Web Springer (Phys) Physics Global analysis (Mathematics) Geometry Mathematical physics Physics Mathematical Methods in Physics Analysis Mathematical and Computational Physics Geometry Physics, general Vilasi, G. Yanovski, A.B. SpringerLink (Online service) SpringerLink eBooks (Servicio en línea) Lecture Notes in Physics (Servicio en línea) Springer eBooks Springer eBooks

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monografia Rebiun09197467 https://catalogo.rebiun.org/rebiun/record/Rebiun09197467 100301s2008 gw | s |||| 0|eng d 9783540770541 978-3-540-77054-1 9783540770534 ed. impresa) UM0777930 UMA.RE Gerdjikov, V.S. Integrable Hamiltonian Hierarchies Recurso electrónico] Spectral and Geometric Methods edited by V.S. Gerdjikov, G. Vilasi, A.B. Yanovski Servicio en línea Berlin, Heidelberg Springer Berlin Heidelberg 2008 Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg digital Lecture Notes in Physics 0075-8450 748 Introduction -- Lax Representation and AKNS Approach -- The Direct Scattering Problem -- The Inverse Scattering Problem -- The Generalized Fourier Transforms -- Fundamental Properties of the Solvable NLEEs -- Hierarchies of Hamiltonian Structures -- The NLEEs and Gauge Transformations -- The Classical R-Matrix Method -- Smooth Manifolds -- Hamiltonian Dynamics -- Vector-Valued Differential Forms -- Integrability and Nijenhuis Tensors -- Poisson-Nijenhuis Structures Related to GZS System -- Linear Bundles of Lie Algebras and Compatible Poisson Structures Acceso restringido a miembros del Consorcio de Bibliotecas Universitarias de Andalucía This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their Hamiltonian hierarchies. Thus it is demonstrated that the inverse scattering method for solving soliton equations is a nonlinear generalization of the Fourier transform.The book brings together the spectral and the geometric approaches and as such will be useful to a wide readership: from researchers in the field of nonlinear completely integrable evolution equations to graduate and post-graduate students Modo de acceso: World Wide Web Springer (Phys) Physics Global analysis (Mathematics) Geometry Mathematical physics Physics Mathematical Methods in Physics Analysis Mathematical and Computational Physics Geometry Physics, general Vilasi, G. Yanovski, A.B. SpringerLink (Online service) SpringerLink eBooks (Servicio en línea) Lecture Notes in Physics (Servicio en línea) Springer eBooks Springer eBooks