Integrable Hamiltonian Hierarchies

Spectral and Geometric Methods

von Alexandar Borisov Yanovski, Vladimir Gerdjikov, Gaetano Vilasi

656 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Physics
• Themen: Mathematik und Naturwissenschaften Mathematik Geometrie
• ISBN: 9783642095771
• Sprache: Englisch
• Erscheinungsdatum: 13.11.2010
• Größe: 235 x 155 mm
• Verlag: Springer Spektrum