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New traveling wave solutions by the extended generalized Riccati equation mapping method of the (2 + 1) -dimensional evolution equation

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dc.contributor.author Naher, Hasibun
dc.contributor.author Abdullah, Farah Aini
dc.date.accessioned 2016-11-17T07:58:00Z
dc.date.available 2016-11-17T07:58:00Z
dc.date.issued 2012
dc.identifier.citation Naher, H., & Abdullah, F. A. (2012). New traveling wave solutions by the extended generalized riccati equation mapping method of the (2 + 1) -dimensional evolution equation. Journal of Applied Mathematics, 2012 doi:10.1155/2012/486458 en_US
dc.identifier.issn 1110757X
dc.identifier.uri http://hdl.handle.net/10361/6871
dc.description 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/10.1155/2012/486458 The Journal's website is at:https://www.hindawi.com/journals/jam/2012/486458/ en_US
dc.description.abstract The generalized Riccati equation mapping is extended with the basic (G ′ / G) -expansion method which is powerful and straightforward mathematical tool for solving nonlinear partial differential equations. In this paper, we construct twenty-seven traveling wave solutions for the (2+1)-dimensional modified Zakharov-Kuznetsov equation by applying this method. Further, the auxiliary equation G ′ (η) = w + u G (η) + v G 2 (η) is executed with arbitrary constant coefficients and called the generalized Riccati equation. The obtained solutions including solitons and periodic solutions are illustrated through the hyperbolic functions, the trigonometric functions, and the rational functions. In addition, it is worth declaring that one of our solutions is identical for special case with already established result which verifies our other solutions. Moreover, some of obtained solutions are depicted in the figures with the aid of Maple. en_US
dc.language.iso en en_US
dc.publisher © 2012 Journal of Applied Mathematics en_US
dc.relation.uri https://www.hindawi.com/journals/jam/2012/486458/
dc.title New traveling wave solutions by the extended generalized Riccati equation mapping method of the (2 + 1) -dimensional evolution equation en_US
dc.type Article en_US
dc.description.version Published
dc.contributor.department Department of Mathematics and Natural Sciences, BRAC University
dc.identifier.doi http://dx.doi.org/10.1155/2012/486458


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