A dimensionally reduction approach to study kink soliton and its fission and fusion process of (3+1)‐dimensional KdV‐CDG equation

Abstract

The Hirota bilinear (HB) is a powerful and widely used technique to find various types of solitons of integrable systems. In this manuscript, we implement HB technique to find bilinear form of a dimensionally reduced (3+1)‐dimensional KdV–Calogero–Bogoyavlenskii–Schiff (KdV‐CBS) equation at z = x, z = y, and z = t. We present various results for distinct auxiliary function to study kink solitons and its fission and fusion dynamics. The MATLAB‐2020 is used to display all the results via 3D and line 2D graphs for appropriate values of parameters. These findings provide a strong new insight into the nonlinear features of the model and lay the foundation for future studies in soliton dynamics and nonlinear events in related systems.