Multi-Soliton Solutions of (3+1)-Dimensional KdV-BBM Equation in Nonlinear Dispersive Systems

Abstract

In this paper, the (3+1)-dimensional Korteweg-de Vries Benjamin-Bona-Mahony (KdV-BBM) equation has been solved exactly
by using the modified hyperbolic function expansion method. These solutions investigate the exact traveling wave solutions
of nonlinear partial differential equations. The required preliminaries for the method of modified hyperbolic expansion has
been presented. Two numerical examples have been illustrated and the exact solutions obtained are explained with the help of
two dimensional and three dimensional graphs. The solutions have different physical structures depending on the involved
parameters.