FURTHER IMPROVED (G'/G) -EXPANSION AND EXTENDED TANH-FUNCTION METHOD FOR NONLINEAR EVOLUTION EQUATION
MUHAMMAD SHAKEEL *
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan.
SYED TAUSEEF MOHYUD-DİN
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan.
*Author to whom correspondence should be addressed.
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