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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| Other Authors: | , , |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2008. |
| Series: | Lecture Notes in Physics
748 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Integrable Hamiltonian hierarchies, spectral and geometric methods, V.S. Gerdjikov, G. Vilasi, A.B. Yanovski, Berlin, Springer, 2008, 1 vol. (XII-643 p.), Lecture notes in physics, 978-3-540-77053-4 • Integrable Hamiltonian Hierarchies, Texte imprimé, 9783540869849 • Integrable Hamiltonian Hierarchies, Texte imprimé, 9783642095771 • Integrable Hamiltonian hierarchies, spectral and geometric methods, V.S. Gerdjikov, G. Vilasi, A.B. Yanovski, Berlin, Springer, 2008, 1 vol. (XII-643 p.), Lecture notes in physics, 978-3-540-77053-4 • Integrable Hamiltonian Hierarchies, Texte imprimé, 9783540869849 • Integrable Hamiltonian Hierarchies, Texte imprimé, 9783642095771 • Integrable Hamiltonian hierarchies, spectral and geometric methods, V.S. Gerdjikov, G. Vilasi, A.B. Yanovski, Berlin, Springer, 2008, 1 vol. (XII-643 p.), Lecture notes in physics, 978-3-540-77053-4 |
Table of Contents:
- Integrable Hamiltonian Hierarchies: Spectral Methods The Lax Representation and the AKNS Approach The Direct Scattering Problem for theZakharov Shabat System The Inverse Scattering Problem for the Zakharov Shabat System The Generalized Fourier Transforms Fundamental Properties of the solvable NLEEs Hierarchies of Hamiltonian structures The NLEEs and the Gauge Transformations The Classical r-Matrix Method Integrable Hamiltonian Hierarchies: Geometric Theory of the Recursion Operators Smooth Manifolds Hamiltonian Dynamics Vector-Valued Differential Forms Integrability and Nijenhuis Tensors Poisson Nijenhuis structures Related to the Generalized Zakharov Shabat System Linear Bundles of Lie Algebras and Compatible Poisson Structures