New interaction solutions of the KdV-Sawada-Kotera-Ramani equation in various dimensions

Abstract

Abstract In this paper, the KdV-Sawada-Kotera-Ramani(KdVSKR) equation in various dimensions are studied. The bilinear form of the (1+1)-dimensional and (2+1)-dimensional KdVSKR equation are obtained by the independent transformation. Based on the Hirota bilinear method, we constructed new interaction solutions by studying the unknown nonlinear differential equations for the corresponding parameters. Three dimensional plots, density plots and contour plots provide us with a better understanding of visualizing the dynamic behavior of solutions.