Finding general and explicit solutions of high nonlinear equations by the Exp-Function method

In this paper, Davey–Stewartson equation and coupled Klein–Gordon–Schrödinger (KGS) equations and homogeneous nonlinear convection–diffusion problem are solved using the Exp-function method. The capabilities and wide-range applications of the Exp-function method are illustrated. This method can be used as an alternative to obtain analytical and approximate solutions of different types of differential equations in engineering mathematics.