A Hierarchy of Nonlinear Lattice Soliton Equations and Its Darboux Transformation

DOI10.1088/0253-6102/53/1/03zbMath1221.39005OpenAlexW2049171717MaRDI QIDQ3009843

Ye-Peng Sun, Feng-Chang Xue, Hai-Yong Ding

Publication date: 30 June 2011

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/53/1/03

zbMATH Keywords

gauge transformationsHamiltonian structureDarboux transformationLax pairsnonlinear lattice soliton equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

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