On one-soliton solutions of the Q2 equation in the ABS List

DOI10.1186/s13662-019-1977-8zbMath1458.37074OpenAlexW2921843450MaRDI QIDQ1716429

Cheng Zhang, Da-jun Zhang, Qiang Cheng, Dan-Da Zhang

Publication date: 4 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-1977-8

zbMATH Keywords

soliton solutionsBäcklund transformationABS Listthe Q2 equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Discrete version of topics in analysis (39A12) 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) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14)

Related Items (4)

Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system ⋮ On the new fractional hybrid boundary value problems with three-point integral hybrid conditions ⋮ Convergence of solutions for functional integro-differential equations with nonlinear boundary conditions ⋮ Stability for generalized Caputo proportional fractional delay integro-differential equations

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