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Volume 3, Issue 1, March 2018, Page: 16-30
The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation
Rida Tassew Redi, Department of Mathematics, Institute of Technology, Dire Dawa University, Dire Dawa, Ethiopia
Yesuf Obsie, Department of Mathematics, Jimma University, Jimma, Ethiopia
Alemayehu Shiferaw, Department of Mathematics, Jimma University, Jimma, Ethiopia
Received: Oct. 25, 2017;       Accepted: Nov. 22, 2017;       Published: Jan. 25, 2018
Abstract
In this article, the improved (G’/G)-expansion method has been implemented to generate travelling wave solutions, where G(η) satisfies the second order nonlinear ordinary differential equation. To show the advantages of the method, the Generalized Burgers-Fisher equation has been investigated. Nonlinear partial differential equations have many potential applications in mathematical physics and engineering sciences. Some of our solutions are in good agreement with already published results for a special case and others are new. The solutions in this work may express a variety of new features of waves. Furthermore, these solutions can be valuable in the theoretical and numerical studies of the considered equation.
Keywords
The Improved (G’/G)-Expansion Method, The Generalized Burger's-Fisher Equation, Traveling Wave Solutions, Nonlinear Evolution Equations
Rida Tassew Redi, Yesuf Obsie, Alemayehu Shiferaw, The Improved (G’/G) -Expansion Method to the Generalized Burgers-Fisher Equation, Mathematical Modelling and Applications. Vol. 3, No. 1, 2018, pp. 16-30. doi: 10.11648/j.mma.20180301.13
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