Analytic study on the higher order Ito equations: New solitary wave solutions using the Exp-function method

In this paper, we use the Exp-function method to construct the generalized solitary wave solutions of the generalized (1 + 1)-dimensional and the generalized (2 + 1)-dimensional Ito equations. These equations play a very important role in mathematical physics and engineering sciences. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The results show the reliability and efficiency of the proposed method. Finally, some new solitonary wave solutions are obtained.