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

Abstract

Abstract In this paper, we introduce appropriate rational and logarithmic transformations to transfer the partial reverse space-time nonlocal Mel’nikov equation in (2+1)-dimensions into its bilinear form. Then we extend the N-soliton decomposition algorithm and the inheritance solving strategy proposed by us to construct the higher order interaction solutions among solitons, periodic waves and rational waves for such type equation.