Hamiltonian structure of the integrable couplings for the multicomponent Dirac hierarchy

DOI10.1016/j.amc.2007.08.017zbMath1134.37027OpenAlexW1976992790MaRDI QIDQ2479258

Hong-Qing Zhang, Fa-Jun Yu

Publication date: 26 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.017

Mathematics Subject Classification ID

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

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Cites Work

• The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions
• Integrable theory of the perturbation equations.
• Adjoint symmetry constraints of multicomponent AKNS equations.
• A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system
• The quadratic trace identity for constructing Hamiltonian structures of the multicomponent equation hierarchies
• The integrable coupling of the AKNS hierarchy and its Hamiltonian structure
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Virasoro symmetry algebra of Dirac soliton hierarchy