In this paper, we have described two dreadfully important methods to solve nonlinear partial differential equations which are known as exp-function and the exp(-ϕ(ξ)) -expansion method. Recently, there are several methods to use for finding analytical solutions of the nonlinear partial differential equations. The methods are diverse and useful for solving the nonlinear evolution equations. With...

We construct new analytical solutions of the 3 1 -dimensional modified KdV-ZakharovKuznetsev equation by the Exp-function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained by the method. The obtained results show that the Exp-function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary para...

In this study, the dispersal caused by transverse Poisson’s effect in a magneto-electro-elastic (MEE) circular rod is taken into consideration using nonlinear longitudinal wave equation (LWE), mathematical physics problem. Using generalized exp-function method, we investigate families of solitary solutions one-dimensional LWE. computer program Wolfram Mathematica 10, these new exact and LWE are...