Extended (G' / G) -Expansion Method for Abundant Traveling Wave Solutions of Nonlinear Evolution CDG Equation
Muhammad Shakeel *
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan.
Syed Tauseef Mohyud-Din
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan.
*Author to whom correspondence should be addressed.
Abstract
In the present paper, extended (G' / G) -expansion method is used to find new precise solutions of nonlinear partial differential equations with the aid of symbolic computation. To test the validity of the algorithm, the fifth order CDG equation has been used. 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.
Keywords: Extended (G' / G) -expansion method, fifth order Caudrey-Dodd-Gibbon equation, auxiliary equation, travelling wave solutions.