The improved \((G'/G)\)-expansion method for the \((2+1)\)-dimensional modified Zakharov-Kuznetsov equation
type: Item
instance of: scholarly article
title: The improved \((G'/G)\)-expansion method for the \((2+1)\)-dimensional modified Zakharov-Kuznetsov equation
zbMATH Open document ID: 1251.65147
DOI: 10.1155/2012/438928
author: Hasibun Naher
author: Farah Aini Abdullah
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We apply the improved \((G'/G)\)-expansion method for constructing abundant new exact traveling wave solutions of the \((2+1)\)-dimensional modified Zakharov-Kuznetsov equation. In addition, \(G'' + \lambda G' + \mu G = 0\) together with \(b(\alpha) = \sum^w_{q=-w}p_q(G'/G)^q\) is employed in this method, where \(p_q(q = 0, \pm 1, \pm 2, \dots, \pm w), \lambda\) and \(\mu\) are constants. Moreover, the obtained solutions including solitons and periodic solutions are described by three different families. Also, it is noteworthy to mention out that, some of our solutions are coincided with already published results, if parameters taken particular values. Furthermore, the graphical presentations are demonstrated for some of newly obtained solutions.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6106215
zbMATH Keywords: \((G'/G)\)-expansion method
zbMATH Keywords: exact traveling wave solutions
zbMATH Keywords: \((2+1)\)-dimensional modified Zakharov-Kuznetsov equation
Wikidata QID: Q58905896
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/438928
OpenAlex ID: W1539627814
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DBLP publication ID: journals/jam/NaherA12a
description: scientific article; zbMATH DE number 6106215