Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods

✍ Scribed by Vladimir Gerdjikov, Gaetano Vilasi, Alexandar Borisov Yanovski

Publisher: Springer
Year: 2008
Tongue: English
Leaves: 642
Series: Lecture Notes in Physics
Edition: 2008
Category: Library

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✦ Synopsis

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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Integrable Hamiltonian hierarchies: spec

📁 Integrable Hamiltonian hierarchies: spectral and geometric methods

✍ V.S. Gerdjikov, G. Vilasi, A.B. Yanovski (auth.), V.S. Gerdjikov, G. Vilasi, A.B 📂 Library 📅 2008 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

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 solit

Integrable Hamiltonian Hierarchies: Spec

📁 Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods

✍ V.S. Gerdjikov, G. Vilasi, A.B. Yanovski (auth.), V.S. Gerdjikov, G. Vilasi, A.B 📂 Library 📅 2008 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

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