A new loop algebra and a multi-component integrable system similar to the TC hierarchy

DOI10.1016/J.CHAOS.2004.09.066zbMath1071.37049OpenAlexW2008026265MaRDI QIDQ1771801

Yu-Qin Yao

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.066

zbMATH Keywords

KdV equationintegrable systemisospectral problemTC hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (2)

Expansion of Lie Algebra and Its Application ⋮ The multi-component second modified Korteweg-de Vries equation and its two distinct integrable coupling types

Cites Work

• A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
• New integrable systems of derivative nonlinear Schrödinger equations with multiple components
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
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