Evaluation of two-dimensional ZK-MEW equation using the Exp-function method

In this paper, J.H. He’s Exp-function method is used to obtain a generalized soliton solution with some free parameters of the Zakharov–Kuznetsov-Modified Equal-Width (ZK-MEW) equation. Suitable choice of parameters in the generalized solution leads to Mustafa Inc’s solution [M. Inc, New exact solutions for the ZK-MEW equation by using symbolic computation, Applied Mathematics and Computation 189 (1) (2007) 508–513]. The results show that He’s method is very powerful and convenient.