A new loop algebra and the corresponding computing formula of constant \(\gamma \) in the quadratic-form identity, as well as the generalized Burgers hierarchy

DOI10.1007/s10773-007-9624-7zbMath1165.37028OpenAlexW1982745460MaRDI QIDQ1008081

Ning Zhang, Xue-Lei Wang, Huan He Dong

Publication date: 24 March 2009

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

Full work available at URL: https://doi.org/10.1007/s10773-007-9624-7

zbMATH Keywords

bi-Hamiltonian structureloop algebraBurgers hierarchyzero-curvature equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (1)

A subalgebra of Lie algebra A2 and its associated two types of loop algebras, as well as Hamiltonian structures of integrable hierarchy

Cites Work

• Unnamed Item
• Expansion of the Lie algebra and its applications
• A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

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