A NEW LOOP ALGEBRA AND TWO NEW LIOUVILLE INTEGRABLE HIERARCHY

DOI10.1142/S0217984907013109zbMath1124.37039OpenAlexW2024782873MaRDI QIDQ5293766

Huan He Dong

Publication date: 4 July 2007

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984907013109

zbMATH Keywords

loop algebraHamiltonian structuresquadratic-form identitycomputing formula of constant \(\gamma\)

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 (1)

A hierarchy of discrete integrable coupling system with self-consistent sources

Cites Work

• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

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