A hierarchy of integrable differential-difference equations and Darboux transformation

DOI10.1016/S0034-4877(19)30094-1zbMath1441.37072OpenAlexW2995791172WikidataQ126535429 ScholiaQ126535429MaRDI QIDQ2194273

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

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(19)30094-1

zbMATH Keywords

conservation lawDarboux transformationsoliton solutions.

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) Soliton solutions (35C08)

Related Items (6)

\(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation ⋮ Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation ⋮ A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution ⋮ Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations ⋮ A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions ⋮ \(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation

Uses Software

• CONDENS

Cites Work

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