A new matrix Lie algebra, the multicomponent Yang hierarchy and its super-integrable coupling system

DOI10.1016/j.amc.2008.10.050zbMath1162.17027OpenAlexW1976544990WikidataQ115361734 ScholiaQ115361734MaRDI QIDQ1002293

Li Li, Fa-Jun Yu

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.050

zbMATH Keywords

matrix Lie algebramulti-componentYang hierarchysuper-integrable coupling

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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Cites Work

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• The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions
• A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
• The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system
• Applications of the Jacobi elliptic function method to special-type nonlinear equations
• New integrable systems of derivative nonlinear Schrödinger equations with multiple components
• Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Complete integrability of derivative nonlinear Schrödinger-type equations
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• A powerful approach to generate new integrable systems
• Adjoint Symmetry Constraints Leading to Binary Nonlinearization