A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system

DOI10.1016/j.chaos.2004.04.010zbMath1071.37047OpenAlexW1977074314MaRDI QIDQ1771616

Xiaohong Chen, Deng-Yuan Chen, Tie-cheng Xia

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.2004.04.010

zbMATH Keywords

Liouville integrabilityintegrable couplingshierarchyisospectral problem\(N\) Hamiltonian structure

Mathematics Subject Classification ID

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

Related Items (14)

Tri-integrable couplings of the Giachetti-Johnson soliton hierarchy as well as their Hamiltonian structure ⋮ Nonlinear bi-integrable couplings with Hamiltonian structures ⋮ Component-trace identities for Hamiltonian structures ⋮ TWO FAMILIES GENERALIZATION OF AKNS HIERARCHIES AND THEIR HAMILTONIAN STRUCTURES ⋮ The multicomponent generalized Kaup–Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions ⋮ A generalized AKNS hierarchy and its bi-Hamiltonian structures ⋮ The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions ⋮ A super integrable hierarchy and its nonlinear super integrable Hamiltonian couplings ⋮ The multi-component Yang hierarchy and its multi-component integrable coupling system with two arbitrary functions ⋮ Bi-integrable couplings associated with \(\mathrm{so}(3,\mathbb{R})\) ⋮ A few new higher-dimensional Lie algebras and two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy ⋮ Component-trace identity for Hamiltonian structure of the integrable couplings of the giachetti-johnson (GJ) hierarchy and coupling integrable couplings ⋮ Two types of new Lie algebras and corresponding hierarchies of evolution equations ⋮ COUPLING INTEGRABLE COUPLINGS

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