Multiwave interaction solutions of the partial reverse Space-time nonlocal Mel’nikov equation

Abstract

In this paper, by introducing appropriate rational and logarithmic transformations, the partial reverse Space-Time nonlocal Mel’nikov Equation in (2+1)-dimensions is transfered into its bilinear form. Then the N-soliton decomposition algorithm and the inheritance solving strategy proposed by us are extended to construct the higher order interaction solutions among solitons, periodic waves and rational waves for such type equation.