Application of two loop algebras

DOI10.1016/J.CHAOS.2005.11.012zbMath1138.37333OpenAlexW2020085763MaRDI QIDQ2482411

Hon-Wah Tam, Yu-Feng Zhang

Publication date: 16 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.11.012

zbMATH Keywords

integrable modelsBurgers hierarchyisospectral problemsTu schemeBurgers evolution equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (4)

HAMILTONIAN STRUCTURES OF TWO INTEGRABLE COUPLINGS OF THE MODIFIED AKNS HIERARCHY ⋮ A new multi-component matrix loop algebra and a multi-component integrable couplings of the NLS-MKdV hierarchy and its Hamiltonian structure ⋮ A new soliton hierarchy and its two extending integrable models ⋮ SPECTRAL RADIUS ANALYSIS OF MATRICES AND THE ASSOCIATED WITH INTEGRABLE SYSTEMS

Cites Work

• A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
• Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
• 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
• A powerful approach to generate new integrable systems
• Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy
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