Darboux-Bäcklund transformation and explicit solutions to a hybrid lattice of the relativistic Toda lattice and the modified Toda lattice

DOI10.1016/j.physleta.2014.03.055zbMath1331.37102OpenAlexW2113857859MaRDI QIDQ5964740

Publication date: 1 March 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2014.03.055

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)

Related Items (7)

\(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation ⋮ Generating integrable lattice hierarchies by some matrix and operator Lie algebras ⋮ Two kinds of discrete integrable hierarchies of evolution equations and some algebraic-geometric solutions ⋮ 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 family of integrable different-difference equations, its Hamiltonian structure, and Darboux-Bäcklund transformation

Cites Work

This page was built for publication: Darboux-Bäcklund transformation and explicit solutions to a hybrid lattice of the relativistic Toda lattice and the modified Toda lattice