A generalized AKNS hierarchy and its bi-Hamiltonian structures

DOI10.1016/j.chaos.2004.07.004zbMath1071.37048OpenAlexW2003234605MaRDI QIDQ1771770

Fucai You, Tie-cheng Xia, Deng-Yuan Chen

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.2004.07.004

zbMATH Keywords

Lax pairisospectral problembi-Hamiltonian structuressoliton hierarchiesintegrable in the sense of Liouville

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (10)

The generalized fractional trace variational identity and fractional integrable couplings of Kaup-Newell hierarchy ⋮ Application of a semi-direct sum of Lie algebras to the TD hierarchy ⋮ The fractional quadratic-form identity and Hamiltonian structure of an integrable coupling of the fractional Ablowitz-Kaup-Newell-Segur hierarchy ⋮ Integrable couplings of the generalized AKNS hierarchy with an arbitrary function and its bi-Hamiltonian structure ⋮ The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures ⋮ A generalized Tu formula and Hamiltonian structures of fractional AKNS hierarchy ⋮ The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions ⋮ A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system ⋮ The two generalized AKNS hierarchies and their Hamiltonian structures ⋮ Two types of Lie super-algebra for the super-integrable tu-hierarchy and its super-Hamiltonian structure

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