Integrable relativistic Toda type lattice hierarchies, associated coupling systems and the Darboux transformation

DOI10.1088/0305-4470/39/15/007zbMath1088.37044OpenAlexW2095364810MaRDI QIDQ5290705

Ye-Peng Sun, Xi-Xiang Xu, Hai-Yong Ding, Hong-Xiang Yang

Publication date: 3 May 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/15/007

zbMATH Keywords

Darboux transformation discrete spectral problem lattice hierarchies integrable coupling systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lattice dynamics; integrable lattice equations (37K60)

Related Items (10)

\(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation ⋮ Hamiltonian and super-Hamiltonian systems of a hierarchy of soliton equations ⋮ A hierarchy of integrable differential-difference equations and Darboux transformation ⋮ Integrable decomposition of a hierarchy of soliton equations and integrable coupling system by semidirect sums of Lie algebras ⋮ \(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation ⋮ Hamiltonian and super-Hamiltonian extensions related to Broer-Kaup-Kupershmidt system ⋮ The Darboux transformation associated with two-parameter lattice soliton equation ⋮ Two \(3 \times 3\) discrete matrix spectral problems and associated Liouville integrable lattice soliton equations ⋮ THE ALGEBRAIC STRUCTURE OF ZERO CURVATURE REPRESENTATIONS ASSOCIATED WITH INTEGRABLE COUPLINGS ⋮ Constructing integrable coupling systems of Hamiltonian lattice equations using semi-direct sums of Lie algebras

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