Some reductions from a Lax integrable system and their Hamiltonian structures

DOI10.1016/j.amc.2012.03.071zbMath1254.37047OpenAlexW2092076063MaRDI QIDQ449443

Yu-Xia Li, Xin-Zeng Wang, Huan He Dong

Publication date: 30 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.03.071

zbMATH Keywords

Hamiltonian structurequadratic-form identityintegrable coupling

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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Cites Work

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• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II
• Some new reductions from a Lax integrable system
• Two types of multicomponent matrix loop algebras and its application
• 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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