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Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods

Integrable Hamiltonian Hierarchies: Spectral and Geometric Methods

Paperback

Series: Lecture Notes in Physics, Book 748

General MathematicsGeometryPhysics

ISBN10: 3642095771
ISBN13: 9783642095771
Publisher: Springer Nature
Published: Nov 13 2010
Pages: 643
Weight: 1.99
Height: 1.32 Width: 6.14 Depth: 9.21
Language: English
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.

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