Expansion of the Lie algebra and its applications

DOI10.1016/j.chaos.2005.04.073zbMath1085.37051OpenAlexW2024441342WikidataQ115359421 ScholiaQ115359421MaRDI QIDQ813485

Fukui Guo, Yu-Feng Zhang

Publication date: 13 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.073

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (10)

Two unified formulae ⋮ SUBALGEBRAS OF THE LIE ALGEBRA R⁶AND THEIR APPLICATIONS ⋮ The quadratic-form identity for constructing Hamiltonian structures of the NLS-MKdV hierarchy and multi-component Levi hierarchy ⋮ NLS-MKdV hierarchy and its Hamiltonian structures ⋮ Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy ⋮ The computational formula on the constant \(\gamma\) appeared in the equivalently used trace identity and quadratic-form identity ⋮ The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures ⋮ A few subalgebras of the Lie algebra \(A_{3}\) and a direct approach for obtaining integrable couplings ⋮ New computational formulae concerning the constant in the trace identity and the quadratic-form identity ⋮ A new loop algebra and the corresponding computing formula of constant \(\gamma \) in the quadratic-form identity, as well as the generalized Burgers hierarchy

Cites Work

• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Method for Solving the Korteweg-deVries Equation
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• Unnamed Item

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