An integrable lattice hierarchy for Merola-Ragnisco-Tu lattice: \(N\)-fold Darboux transformation and conservation laws

DOI10.1016/j.cnsns.2018.03.010OpenAlexW2789809420WikidataQ130097523 ScholiaQ130097523MaRDI QIDQ2207928

Ling Liu, Deng-Shan Wang, Ke Han, Xiao-Yong Wen

Publication date: 23 October 2020

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.2018.03.010

zbMATH Keywords

Darboux transformationMerola-Ragnisco-Tu 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)

Related Items (7)

Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation ⋮ Finite genus solutions of the generalized Merola–Ragnisco–Tu lattice hierarchy ⋮ Inverse spectral transform for the Ragnisco-Tu equation with heaviside initial condition ⋮ Dynamics of higher‐order rational and semi‐rational soliton solutions of the coupled modified KdV lattice equation ⋮ The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation ⋮ 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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