A higher dimensional loop algebra and integrable couplings system of evolution equations hierarchy

DOI10.1007/s11741-005-0077-zzbMath1086.35520OpenAlexW2031875606MaRDI QIDQ5696683

Deng-Yuan Chen, Tie-cheng Xia, Fa-Jun Yu

Publication date: 18 October 2005

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-005-0077-z

zbMATH Keywords

Lie algebraNLS-MKdV equations hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Cites Work

• Unnamed Item
• 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
• Two types of new Lie algebras and corresponding hierarchies of evolution equations

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