A new loop algebra \(\tilde A_5\) and its applications to integrable system

DOI10.1016/J.CHAOS.2006.10.058zbMath1142.37366OpenAlexW1991109207MaRDI QIDQ944873

Fucai You, Tie-cheng Xia

Publication date: 10 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.10.058

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)

Related Items (2)

Application of a semi-direct sum of Lie algebras to the TD hierarchy ⋮ Nonlinear super integrable Hamiltonian couplings

Cites Work

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• Integrable theory of the perturbation equations.
• Hamiltonian structure of the integrable coupling of the Jaulent-Miodek hierarchy
• A few subalgebras of the Lie algebra \(A_{3}\) and a direct approach for obtaining integrable couplings
• The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions
• A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system
• The Modified Korteweg-de Vries Equation
• 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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