Lumps and interactions, fission and fusion phenomena in multi solitons of extended Shallow Water Wave Equation of (2+1)-dimensions

Abstract

In this manuscript, we study novel exact solutions of the extended shallow water wave equation of (2+1)-dimensions. To acheive the exact solutions the Hirota bi-linear approach is utilized. The first, second, third and fourth order solitons are presented. Further, the fission or fusion of the first to fourth order solitons are also presented which are obtained with the help of consideration of different dispersion coefficients as zeros. Similarly, lumps and other their interactions with some new combinations of trigonometric and hyperbolic functions. The solutions are graphically presented with help of MATLAB R2020a.