A new loop algebra and its subalgebras

DOI10.1016/j.chaos.2004.02.040zbMath1055.37068OpenAlexW2015490803MaRDI QIDQ1766568

Fukui Guo, Yu-Feng Zhang

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.02.040

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)

Related Items (11)

Bilinear forms and Bäcklund transformations of the perturbation systems ⋮ Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy ⋮ Reduced equations of the self-dual Yang-Mills equations and applications ⋮ The integrable coupling of the AKNS hierarchy and its Hamiltonian structure ⋮ A new multi-component hierarchy and its integrable expanding model ⋮ An extended trace identity and applications ⋮ A simple method for generating integrable hierarchies with multi-potential functions ⋮ A direct method for producing Hamiltonian structure of nonlinear evolution equations ⋮ A Hamiltonian structure associated with a matrix spectral problem of arbitrary-order ⋮ Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form ⋮ A NEW EXPANDING INTEGRABLE HIERARCHY OF KAUP–NEWELL HIERARCHY

Cites Work

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• Multi-Field Integrable Systems Related to WKI-Type Eigenvalue Problems
• A powerful approach to generate new integrable systems
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• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem

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