NLS-MKdV hierarchy and its Hamiltonian structures

DOI10.1007/s10773-007-9555-3zbMath1140.81407OpenAlexW2011182944MaRDI QIDQ930217

Ning Zhang, Huan He Dong

Publication date: 23 June 2008

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

Full work available at URL: https://doi.org/10.1007/s10773-007-9555-3

zbMATH Keywords

Hamiltonian structureintegrable couplingsquadratic-form identity

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Groups and algebras in quantum theory and relations with integrable systems (81R12) Isospectrality (58J53)

Cites Work

• The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions
• Expansion of the Lie algebra and its applications
• 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
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

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