\(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation

DOI10.1007/s13324-020-00375-2zbMath1448.35431OpenAlexW3037098337MaRDI QIDQ2006817

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

Publication date: 12 October 2020

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-020-00375-2

zbMATH Keywords

exact solutions\(N\)-fold Darboux transformationintegrable 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) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (6)

Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation ⋮ Integrability, multi-soliton and rational solutions, and dynamical analysis for a relativistic Toda lattice system with one perturbation parameter ⋮ Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation ⋮ A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution ⋮ Discrete N-fold Darboux transformation and infinite number of conservation laws of a four-component Toda lattice ⋮ A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions

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