Solving an integrable coupling system of Merola-Ragnisco-Tu lattice equation by Darboux transformation of Lax pair

DOI10.1016/j.cnsns.2014.11.002zbMath1352.37180OpenAlexW2054499028MaRDI QIDQ727082

Xi-Xiang Xu

Publication date: 6 December 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.11.002

zbMATH Keywords

explicit solutionDarboux transformationLax pairintegrable coupling systemintegrable differential-difference equationMerola-Ragnisco-Tu lattice equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60) Lattice functional-differential equations (34K31)

Related Items

N-fold Darboux Transformation for Integrable Couplings of AKNS Equations, Inverse spectral transform for the Ragnisco-Tu equation with heaviside initial condition, Exact solutions to the four-component Merola-Ragnisco-Tu lattice equations, Dynamics of higher‐order rational and semi‐rational soliton solutions of the coupled modified KdV lattice equation, An integrable lattice hierarchy for Merola-Ragnisco-Tu lattice: \(N\)-fold Darboux transformation and conservation laws, \(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system, Integrable asymmetric AKNS model with multi-component, Two-component generalized Ragnisco-Tu equation and the Riemann-Hilbert problem, A new lattice hierarchy: Hamiltonian structures, symplectic map and \(N\)-fold Darboux transformation

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