Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy

DOI10.1016/J.CHAOS.2006.03.061zbMath1130.37035OpenAlexW2027145098MaRDI QIDQ2468097

Fukui Guo, Yu-Feng Zhang

Publication date: 30 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.03.061

zbMATH Keywords

quadratic-form identityloop algebrasdouble integrable couplingslinear isomorphic transformation

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie algebras and Lie superalgebras (17B99)

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Cites Work

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• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A simple model of the integrable Hamiltonian equation
• An approach to generate superextensions of integrable systems

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