The application of discrete variational identity on semi-direct sums of Lie algebras

DOI10.1007/S10773-009-9960-XzbMath1187.37104OpenAlexW2025203049MaRDI QIDQ842590

Ling Li, Huan He Dong

Publication date: 25 September 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-9960-x

zbMATH Keywords

Hamiltonian structurebilinear formintegrable couplingdiscrete variational identitysemi-direct sum of Lie algebra

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Cites Work

• Semi-direct sums of Lie algebras and continuous integrable couplings
• A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
• ON INTEGRABLE COUPLINGS OF THE DISPERSIVE LONG WAVE HIERARCHY AND THEIR HAMILTONIAN STRUCTURE
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• A discrete variational identity on semi-direct sums of Lie algebras
• A trace identity and its applications to the theory of discrete integrable systems

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