The multi-component KdV hierarchy and its multi-component integrable coupling system

DOI10.1016/J.CHAOS.2004.05.010zbMath1071.37050OpenAlexW2062168352MaRDI QIDQ1771652

Yu-Feng Zhang, Hon-Wah Tam

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.2004.05.010

zbMATH Keywords

KdV hierarchysoliton equationsloop algebraisospectral problem

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 (11)

A new integrable hierarchy and constrained flows, its expanding integrable system ⋮ Two explicit realizations of a Lie algebra ⋮ Expansion of Lie Algebra and Its Application ⋮ A real nonlinear integrable couplings of continuous soliton hierarchy and its Hamiltonian structure ⋮ A complex integrable hierarchy and its Hamiltonian structure for integrable couplings of WKI soliton hierarchy ⋮ An extended integrable model of the KdV hierarchy and the resulting Hamiltonian structure ⋮ An unified form of the AKNS and BPT hierarchies with two arbitrary parameters ⋮ Constructing \((2+1)\)-dimensional nonlinear soliton equations with a generalized zero curvature equation ⋮ Integrable couplings of the multi-component Dirac hierarchy and its Hamiltonian structure ⋮ A solitary hierarchy of an integrable coupling and its Hamiltonian structure ⋮ An integrable system and associated integrable models as well as Hamiltonian structures

Cites Work

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• New integrable systems of derivative nonlinear Schrödinger equations with multiple components
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• 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
• A powerful approach to generate new integrable systems
• An approach to generate superextensions of integrable systems
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem
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