The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation
This article was published in the UPB Scientific Bulletin, Series A: Applied Mathematics and Physics [© 2014 Politechnica University of Bucharest ] The Journal's website is at: http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full78d_557338.pdf
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© 2014 Politechnica University of Bucharest
2016
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10361-68612016-11-16T06:59:47Z The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation Naher, Hasibun Abdullah, Farah Aini Rashid, Abdur Department of Mathematics and Natural Sciences, BRAC University Exact traveling wave solutions Nonlinear evolution equations The (G' /G) -expansion method The generalized Riccati equation This article was published in the UPB Scientific Bulletin, Series A: Applied Mathematics and Physics [© 2014 Politechnica University of Bucharest ] The Journal's website is at: http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full78d_557338.pdf We construct new exact travelling wave solutions including solitons and periodic solutions of the (3+1)-dimensional modified KdV Zakharov-Kuznetsov equation involving parameter by applying the generalized Riccati equation together with the (G' /G) -expansion method. In addition, in this method, G' = n + lG + mG2 is used, as the auxiliary equation, called the generalized Riccati equation, where l, m and n are arbitrary constants. Further, the solutions are expressed in terms of the hyperbolic function, the trigonometric function and the rational functional form. Moreover, some of obtained traveling wave solutions are presented in the figures with the aid of commercial software Maple. Published 2016-11-16T06:33:57Z 2016-11-16T06:33:57Z 2014 Article Naher, H., Abdullah, F. A., & Rashid, A. (2014). The generalized riccati equation together with the (G' / G) -expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 76(3), 77-90. 12237027 http://hdl.handle.net/10361/6861 en http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full78d_557338.pdf © 2014 Politechnica University of Bucharest |
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Brac University |
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Institutional Repository |
| language |
English |
| topic |
Exact traveling wave solutions Nonlinear evolution equations The (G' /G) -expansion method The generalized Riccati equation |
| spellingShingle |
Exact traveling wave solutions Nonlinear evolution equations The (G' /G) -expansion method The generalized Riccati equation Naher, Hasibun Abdullah, Farah Aini Rashid, Abdur The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation |
| description |
This article was published in the UPB Scientific Bulletin, Series A: Applied Mathematics and Physics [© 2014 Politechnica University of Bucharest ] The Journal's website is at: http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full78d_557338.pdf |
| author2 |
Department of Mathematics and Natural Sciences, BRAC University |
| author_facet |
Department of Mathematics and Natural Sciences, BRAC University Naher, Hasibun Abdullah, Farah Aini Rashid, Abdur |
| format |
Article |
| author |
Naher, Hasibun Abdullah, Farah Aini Rashid, Abdur |
| author_sort |
Naher, Hasibun |
| title |
The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation |
| title_short |
The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation |
| title_full |
The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation |
| title_fullStr |
The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation |
| title_full_unstemmed |
The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation |
| title_sort |
generalized riccati equation together with the (g' / g) -expansion method for the (3+1)-dimensional modified kdv-zakharov-kuznetsov equation |
| publisher |
© 2014 Politechnica University of Bucharest |
| publishDate |
2016 |
| url |
http://hdl.handle.net/10361/6861 |
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