On integrability and quasi-periodic wave solutions to a \((3+1)\)-dimensional generalized KdV-like model equation

DOI10.1016/j.amc.2016.02.028zbMath1410.35158OpenAlexW2293753237MaRDI QIDQ1733418

Mei-Juan Xua, Shou-Fu Tian, Xiu-Bin Wang, Tian-Tian Zhang

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.02.028

zbMATH Keywords

Bäcklund transformationLax pairssoliton solutionBell polynomialperiodic wave solution\((3+1)\)-dimensional generalized KdV-like model 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) Almost and pseudo-almost periodic solutions to PDEs (35B15) Soliton equations (35Q51)

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Uses Software

• Maple
• PDEBellII

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