The improved (G'/G) -expansion method for the (2+1)-dimensional modified Zakharov-Kuznetsov equation
This article was published in the Journal of Applied Mathematics [© 2012 Hasibun Naher and Farah Aini Abdullah.] and the definite version is available at :http://dx.doi.org/10.1155/2012/438928 The Journal's website is at:https://www.hindawi.com/journals/jam/2012/438928/
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© 2012 Journal of Applied Mathematics
2016
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| Online Zugang: | http://hdl.handle.net/10361/6878 http://dx.doi.org/10.1155/2012/438928 |
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10361-68782016-11-20T07:28:45Z The improved (G'/G) -expansion method for the (2+1)-dimensional modified Zakharov-Kuznetsov equation Naher, Hasibun Abdullah, Farah Aini Department of Mathematics and Natural Sciences, BRAC University This article was published in the Journal of Applied Mathematics [© 2012 Hasibun Naher and Farah Aini Abdullah.] and the definite version is available at :http://dx.doi.org/10.1155/2012/438928 The Journal's website is at:https://www.hindawi.com/journals/jam/2012/438928/ 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'' + λ G' + μG = 0 together with b (α) = ∑ q=-w wp q (G'/G) q is employed in this method, where p q (q = 0, ± 1, ± 2,⋯, ± w), λ and μ 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. Published 2016-11-20T07:24:14Z 2016-11-20T07:24:14Z 2012 Article Naher, H., & Abdullah, F. A. (2012). The improved (G'/G) -expansion method for the (2+1)-dimensional modified zakharov-kuznetsov equation. Journal of Applied Mathematics, 2012 doi:10.1155/2012/438928 1110757X http://hdl.handle.net/10361/6878 http://dx.doi.org/10.1155/2012/438928 en https://www.hindawi.com/journals/jam/2012/438928/ © 2012 Journal of Applied Mathematics |
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Brac University |
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Institutional Repository |
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English |
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This article was published in the Journal of Applied Mathematics [© 2012 Hasibun Naher and Farah Aini Abdullah.] and the definite version is available at :http://dx.doi.org/10.1155/2012/438928 The Journal's website is at:https://www.hindawi.com/journals/jam/2012/438928/ |
| author2 |
Department of Mathematics and Natural Sciences, BRAC University |
| author_facet |
Department of Mathematics and Natural Sciences, BRAC University Naher, Hasibun Abdullah, Farah Aini |
| format |
Article |
| author |
Naher, Hasibun Abdullah, Farah Aini |
| spellingShingle |
Naher, Hasibun Abdullah, Farah Aini The improved (G'/G) -expansion method for the (2+1)-dimensional modified Zakharov-Kuznetsov equation |
| author_sort |
Naher, Hasibun |
| title |
The improved (G'/G) -expansion method for the (2+1)-dimensional modified Zakharov-Kuznetsov equation |
| title_short |
The improved (G'/G) -expansion method for the (2+1)-dimensional modified Zakharov-Kuznetsov equation |
| title_full |
The improved (G'/G) -expansion method for the (2+1)-dimensional modified Zakharov-Kuznetsov equation |
| title_fullStr |
The improved (G'/G) -expansion method for the (2+1)-dimensional modified Zakharov-Kuznetsov equation |
| title_full_unstemmed |
The improved (G'/G) -expansion method for the (2+1)-dimensional modified Zakharov-Kuznetsov equation |
| title_sort |
improved (g'/g) -expansion method for the (2+1)-dimensional modified zakharov-kuznetsov equation |
| publisher |
© 2012 Journal of Applied Mathematics |
| publishDate |
2016 |
| url |
http://hdl.handle.net/10361/6878 http://dx.doi.org/10.1155/2012/438928 |
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