Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations

DOI10.1016/j.cnsns.2020.105453zbMath1459.37064OpenAlexW3043680737WikidataQ114851881 ScholiaQ114851881MaRDI QIDQ2213905

Zhi-Guo Xu, Fang-Cheng Fan, Shaoyun Shi

Publication date: 3 December 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.2020.105453

zbMATH Keywords

conservation lawssolitary wave\( N\)-fold Darboux transformationsintegrable lattice hierarchies

Mathematics Subject Classification ID

Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (5)

\(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation ⋮ Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation ⋮ Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation ⋮ Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions ⋮ A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution

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