Integrable Hamiltonian Hierarchies Spectral and Geometric Methods /

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 equ...

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Detalhes bibliográficos
Principais autores: Gerdjikov, V. S., Vilasi, G., Yanovski, A. B., SpringerLink (Online service)
Formato: Digital
Publicado em:
Assuntos:
Física.
Fisica matematica.
Geometria.
Endereço do item:http://dx.doi.org/10.1007/978-3-540-77054-1
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spelling oai:localhost:123456789-2121082023-07-17T15:13:11Z Integrable Hamiltonian Hierarchies Spectral and Geometric Methods / Gerdjikov, V. S. Vilasi, G. Yanovski, A. B. SpringerLink (Online service) Física. Fisica matematica. Geometria. 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. 0 2022-10-11T17:32:44Z 2022-10-11T17:32:44Z 2008. Digital 53 I61 9783540770541 197810 http://dx.doi.org/10.1007/978-3-540-77054-1 http://dx.doi.org/10.1007/978-3-540-77054-1
institution Acervo SISBI
collection SIGAA
topic Física.
Fisica matematica.
Geometria.
spellingShingle Física.
Fisica matematica.
Geometria.
Gerdjikov, V. S.
Vilasi, G.
Yanovski, A. B.
SpringerLink (Online service)
Integrable Hamiltonian Hierarchies Spectral and Geometric Methods /
description 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.
format Digital
author Gerdjikov, V. S.
Vilasi, G.
Yanovski, A. B.
SpringerLink (Online service)
author_facet Gerdjikov, V. S.
Vilasi, G.
Yanovski, A. B.
SpringerLink (Online service)
author_sort Gerdjikov, V. S.
title Integrable Hamiltonian Hierarchies Spectral and Geometric Methods /
title_short Integrable Hamiltonian Hierarchies Spectral and Geometric Methods /
title_full Integrable Hamiltonian Hierarchies Spectral and Geometric Methods /
title_fullStr Integrable Hamiltonian Hierarchies Spectral and Geometric Methods /
title_full_unstemmed Integrable Hamiltonian Hierarchies Spectral and Geometric Methods /
title_sort integrable hamiltonian hierarchies spectral and geometric methods /
publishDate 2022
url http://dx.doi.org/10.1007/978-3-540-77054-1
work_keys_str_mv AT gerdjikovvs integrablehamiltonianhierarchiesspectralandgeometricmethods
AT vilasig integrablehamiltonianhierarchiesspectralandgeometricmethods
AT yanovskiab integrablehamiltonianhierarchiesspectralandgeometricmethods
AT springerlinkonlineservice integrablehamiltonianhierarchiesspectralandgeometricmethods
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