A novel scheme for nonlinear evolution equations using symbolic computations

Abstract

In this study a novel method, namely multiple exponential function scheme is performed for nonlinear evolution equations. Based on first order auxiliary equations, one-, two-, and three-wave solutions can be established by using computerized symbolic computations. For illustrating the effectiveness of this approach, we apply the method to solve (3+1) dimensional classical Jimbo-Miwa and itâ ™s extended (3+1) dimensional forms. In addition, we determine dispersion relation and phase shift for each of the models.