A type of new integrable Hamiltonian hierarchy and expanding integrable model of its reduced integrable system associated with a new loop algebra

DOI10.1016/S0960-0779(03)00126-7zbMath1069.37055OpenAlexW2034700964MaRDI QIDQ1432941

Xiaopeng Wei, Qingyou Yan, Yu-Feng Zhang

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00126-7

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (1)

A new soliton hierarchy and its two extending integrable models

Cites Work

• Integrable theory of the perturbation equations.
• Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
• Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
• Lie–Bäcklund symmetries of certain nonlinear evolution equations under perturbation around their solutions
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A powerful approach to generate new integrable systems
• An approach to generate superextensions of integrable systems
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem
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