Traveling wave solutions of the nonlinear \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation using the two variables \((G/G, 1/G)\)-expansion method
type: Item
instance of: scholarly article
title: Traveling wave solutions of the nonlinear \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation using the two variables \((G/G, 1/G)\)-expansion method
zbMATH Open document ID: 1251.65150
DOI: 10.1155/2012/560531
author: S. A. Hoda Ibrahim
author: Elsayed M. E. Zayed
author: Mahmoud A. M. Abdelaziz
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: The two variables \((G'/G, 1/G)\)-expansion method is proposed to construct new exact traveling wave solutions with parameters of the nonlinear \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation. This method can be considered as an extension of the basic \((G'/G)\)-expansion method obtained recently by \textit{M. Wang, X. Li} and \textit{J. Zhang} [Phys. Lett., A 372, No.~4, 417--423 (2008; Zbl 1217.76023)]. When the parameters are replaced by special values, the well-known solitary wave solutions and the trigonometric periodic solutions of this equation were rediscovered from the traveling waves.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6106246
zbMATH Keywords: two variables \((G'/G, 1/G)\)-expansion method
zbMATH Keywords: exact traveling wave solutions
zbMATH Keywords: nonlinear \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/560531
OpenAlex ID: W1600109554
Wikidata QID: Q58906134
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description: scientific article; zbMATH DE number 6106246