TWO (2+1)-DIMENSIONAL INTEGRABLE COUPLINGS OF THE KN HIERARCHY AND CORRESPONDING HAMILTONIAN STRUCTURES

DOI10.1142/S0217984909021685zbMath1180.37101MaRDI QIDQ3405903

Jia-Dong Yu, Zhaojun Liu, Chao Yue

Publication date: 12 February 2010

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

zbMATH Keywords

Hamiltonian structureYang-Mills equationintegrable coupling

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13)

Cites Work

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• Integrable theory of the perturbation equations.
• A higher-dimensional Lie algebra and its decomposed subalgebras
• Semi-direct sums of Lie algebras and continuous integrable couplings
• A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
• A few subalgebras of the Lie algebra \(A_{3}\) and a direct approach for obtaining integrable couplings
• Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A direct method for integrable couplings of TD hierarchy
• Integrable systems and reductions of the self-dual Yang–Mills equations
• A powerful approach to generate new integrable systems
• A discrete variational identity on semi-direct sums of Lie algebras
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

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