Solution of Fifth Order Caudrey-Dodd-Gibbon-Sawada-Kotera Equation by the Alternative (G'/G)-Expansion Method with Generalized Riccati Equation

Authors

  • Muhammad SHAKEEL Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt 47080
  • Syed Tauseef MOHYUD-DIN Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt 47080

Keywords:

Alternative (G'/G)-expansion method, exact solutions, traveling wave solutions, nonlinear evolution equation

Abstract

In the present paper, the alternative (G'/G)-expansion is used to find new and precise solutions of Caudrey-Dodd-Gibbon-Sawada-Kotera equation with the assist of symbolic computation Maple, in which the generalized Riccati equation is used as an auxiliary equation. Plentiful traveling wave solutions including; exponential, hyperbolic and trigonometric functions are successfully accomplished by the proposed method with capricious parameters. It is revealed that the proposed method is straightforward, constructive and many nonlinear evolution equations in mathematical physics are solved by this method.

doi:10.14456/WJST.2015.44

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Author Biography

Syed Tauseef MOHYUD-DIN, Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt 47080

Department of Mathematics, HITEC University

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Published

2014-08-28

How to Cite

SHAKEEL, M., & MOHYUD-DIN, S. T. (2014). Solution of Fifth Order Caudrey-Dodd-Gibbon-Sawada-Kotera Equation by the Alternative (G’/G)-Expansion Method with Generalized Riccati Equation. Walailak Journal of Science and Technology (WJST), 12(10), 949–960. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/861