Painlevé analysis, complete Lie group classifications and exact solutions to the time-dependent coefficients gardner types of equations

DOI10.1007/s11071-014-1885-0zbMath1345.37073OpenAlexW2072058477WikidataQ115381729 ScholiaQ115381729MaRDI QIDQ748037

Hanze Liu, Ji-Bin Li

Publication date: 19 October 2015

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

Full work available at URL: https://doi.org/10.1007/s11071-014-1885-0

zbMATH Keywords

exact solutionBäcklund transformationPainlevé analysissymmetry reductionintegrable conditioncomplete group classification

Mathematics Subject Classification ID

Related Items (11)

Infinitely many solitary waves of an integrable equation with singularity ⋮ Painlevé analysis, \({\Phi}\)-integrable and exact solutions to the \((3+1)\)-dimensional nonlinear evolution equations ⋮ Further results on the smooth and nonsmooth solitons of the Novikov equation ⋮ Three kinds of periodic wave solutions and their limit forms for a modified KdV-type equation ⋮ Bounded traveling wave solutions and their relations for the generalized HD type equation ⋮ Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations ⋮ Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations ⋮ Equivalent transformations and exact solutions to the generalized cylindrical KdV type of equation ⋮ Optimal system, group invariant solutions and conservation laws of the CGKP equation ⋮ Bäcklund transformation classification, integrability and exact solutions to the generalized Burgers'-KdV equation ⋮ A novel Lie group classification method for generalized cylindrical KdV type of equation: exact solutions and conservation laws

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