New block matrix spectral problem and Hamiltonian structure of the discrete integrable coupling system

DOI10.1016/J.PHYSLETA.2008.04.007zbMath1221.37141OpenAlexW1997835024MaRDI QIDQ716822

Fa-Jun Yu

Publication date: 27 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.04.007

zbMATH Keywords

Hamiltonian structureblock matrixintegrable coupling system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51)

Related Items (1)

The integrable coupling system of a \(3 \times 3\) discrete matrix spectral problem

Cites Work

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• Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations
• Semi-direct sums of Lie algebras and continuous integrable couplings
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• A simple method for generating integrable hierarchies with multi-potential functions
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• The Modified Korteweg-de Vries Equation
• Integrable couplings of vector AKNS soliton equations
• A discrete variational identity on semi-direct sums of Lie algebras
• Nonlinearization of spectral problems for the perturbation KdV systems

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