New Traveling Wave Solutions by the Extended Generalized Riccati Equation Mapping Method of the (2+1)-Dimensional Evolution Equation
Joint Authors
Naher, Hasibun
Abdullah, Farah Aini
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-11
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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+uG(η)+vG2(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.
American Psychological Association (APA)
Naher, Hasibun& Abdullah, Farah Aini. 2012. New Traveling Wave Solutions by the Extended Generalized Riccati Equation Mapping Method of the (2+1)-Dimensional Evolution Equation. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1028904
Modern Language Association (MLA)
Naher, Hasibun& Abdullah, Farah Aini. New Traveling Wave Solutions by the Extended Generalized Riccati Equation Mapping Method of the (2+1)-Dimensional Evolution Equation. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1028904
American Medical Association (AMA)
Naher, Hasibun& Abdullah, Farah Aini. New Traveling Wave Solutions by the Extended Generalized Riccati Equation Mapping Method of the (2+1)-Dimensional Evolution Equation. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1028904
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028904