Integrable Hamiltonian hierarchies. Spectral and geometric methods

DOI10.1007/978-3-540-77054-1zbMath1293.37002OpenAlexW1623890348MaRDI QIDQ5919155

Gaetano Vilasi, Vladimir S. Gerdjikov, Alexandar Borissov Yanovski

Publication date: 23 July 2014

Published in: Lecture Notes in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-77054-1

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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