Painlevé analysis, \({\Phi}\)-integrable and exact solutions to the \((3+1)\)-dimensional nonlinear evolution equations

DOI10.1007/S11071-016-2683-7zbMath1349.37067OpenAlexW2292016058MaRDI QIDQ341655

Zenggui Wang, Hanze Liu, Xiang-Peng Xin, Xi-Qiang Liu

Publication date: 16 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2683-7

zbMATH Keywords

exact solutionintegro-differential equationBäcklund transformationPainlevé test\(\Phi\)-expansion method\(\Phi\)-integrable

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)

Related Items (3)

Painlevé analysis, group classification and exact solutions to the nonlinear wave equations ⋮ Nonlocal symmetries and exact solutions of the \((2+1)\)-dimensional generalized variable coefficient shallow water wave equation ⋮ Bäcklund transformation classification, integrability and exact solutions to the generalized Burgers'-KdV equation

Cites Work

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