A Lie algebra containing four parameters for the generalized Dirac hierarchy

DOI10.1016/j.amc.2009.05.016zbMath1218.37087OpenAlexW2093573966WikidataQ115361704 ScholiaQ115361704MaRDI QIDQ732373

Huan He Dong, Xin-Zeng Wang

Publication date: 9 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.016

zbMATH Keywords

loop algebravariational identitygeneralized Dirac hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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Cites Work

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• Semi-direct sums of Lie algebras and continuous integrable couplings
• Binary nonlinearization for the Dirac systems
• A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
• A powerful approach to generate new integrable systems
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
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• Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem