A hierarchy of Liouville integrable discrete Hamiltonian equations

DOI10.1016/j.physleta.2008.02.047zbMath1220.37058OpenAlexW2077463290MaRDI QIDQ637857

Xi-Xiang Xu

Publication date: 6 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.02.047

zbMATH Keywords

zero curvature representationintegrable couplingintegrable lattice equationdiscrete variational identity Hamiltonian form

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)

Related Items (7)

New hierarchies of integrable lattice equations and associated properties: Darboux transformation, conservation laws and integrable coupling ⋮ Bi-integrable couplings of a nonsemisimple Lie algebra by Toda lattice hierarchy ⋮ The integrable coupling system of a \(3 \times 3\) discrete matrix spectral problem ⋮ Explicit solutions to a coupled integrable lattice equation ⋮ Solving an integrable coupling system of Merola-Ragnisco-Tu lattice equation by Darboux transformation of Lax pair ⋮ THE NEGATIVE AND POSITIVE INTEGRABLE COUPLING HIERARCHIES DERIVED FROM A FOUR BY FOUR MATRIX SPECTRAL PROBLEM ⋮ An integrable coupling family of the Toda lattice systems, its bi-Hamiltonian structure, and a related nonisospectral integrable lattice family

Cites Work

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• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• Nonlinear differential−difference equations
• R-matrix approach to lattice integrable systems
• Some New Nonlinear Differential-Difference Integrable Hierarchies
• A new integrable symplectic map associated with lattice soliton equations
• A discrete variational identity on semi-direct sums of Lie algebras

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