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Study Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods (Lecture Notes in Physics)

Posted on 2010-03-16




Name:Study Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods (Lecture Notes in Physics)
ASIN/ISBN:3540770534
Language:English
File size:4 Mb
Language: English
Publish Date: 2008-05-27
ISBN: 3540770534
Pages: 643 pages
File Type: PDF
File Size: 4 MB
Other Info: Springer
   Study Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods (Lecture Notes in Physics)

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V.S. Gerdjikov, G. Vilasi, A.B. Yanovski "Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods (Lecture Notes in Physics)"

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 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 post-graduate students.

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