A direct method for producing Hamiltonian structure of nonlinear evolution equations

DOI10.1016/J.CHAOS.2007.04.006zbMath1197.37075OpenAlexW2085974009MaRDI QIDQ711904

Fukui Guo, Yu-Feng Zhang

Publication date: 28 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.04.006

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)

Cites Work

• A new loop algebra and its subalgebras
• Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• An approach for constructing nonisospectral hierarchies of evolution equations
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• A powerful approach to generate new integrable systems
• An approach to generate superextensions of integrable systems
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem
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