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dc.contributor.authorNaher, Hasibun
dc.contributor.authorAbdullah, Farah Aini
dc.identifier.citationNaher, 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:10.1155/2012/486458en_US
dc.descriptionThis article was published in the Journal of Applied Mathematics [© 2012 Hasibun Naher and Farah Aini Abdullah.] and the definite version is available at : The Journal's website is at:
dc.description.abstractThe 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.publisher© 2012 Journal of Applied Mathematicsen_US
dc.titleNew traveling wave solutions by the extended generalized Riccati equation mapping method of the (2 + 1) -dimensional evolution equationen_US
dc.contributor.departmentDepartment of Mathematics and Natural Sciences, BRAC University

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