FURTHER IMPROVED (G'/G) -EXPANSION AND EXTENDED TANH-FUNCTION METHOD FOR NONLINEAR EVOLUTION EQUATION

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MUHAMMAD SHAKEEL
SYED TAUSEEF MOHYUD-DİN

Abstract

Exact traveling wave solutions are assembled in a uniform way by using two different techniques; i.e. further improved -expansion and extended tanh-function methods. To test the validity, efficiency and reliability of the two techniques the nonlinear (3 + 1)-dimensional Jimbo–Miwa equation is chosen. We show that both the techniques give same set of solutions. It is observed that further improved -expansion gives a variety of exact solutions as well.

Keywords:
Jimbo–Miwa equation, Extended tanh-function method, Further improved (G'/G) -expansion, Auxiliary equation, Traveling wave solutions

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How to Cite
SHAKEEL, M., & MOHYUD-DİN, S. (2015). FURTHER IMPROVED (G’/G) -EXPANSION AND EXTENDED TANH-FUNCTION METHOD FOR NONLINEAR EVOLUTION EQUATION. Asian Journal of Mathematics and Computer Research, 4(1), 45-61. Retrieved from http://ikpress.org/index.php/AJOMCOR/article/view/68
Section
Original Research Article