An extended integrable model of the KdV hierarchy and the resulting Hamiltonian structure

DOI10.1016/J.CHAOS.2006.10.001zbMath1153.37424OpenAlexW2071480412MaRDI QIDQ937320

Xi-Xiang Xu, Yu-Feng Zhang

Publication date: 14 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.10.001

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 (1)

A new soliton hierarchy and its two extending integrable models

Cites Work

• The multi-component KdV hierarchy and its multi-component integrable coupling system
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A direct method for integrable couplings of TD hierarchy
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
• Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy
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