INVESTIGATION OF CLOSED FORM SOLITARY WAVE SOLUTIONS FOR THE COUPLED NON-LINEAR REACTION-DIFFUSION MODEL

Abstract

In this study, the coupled non-linear reaction-diffusion model is under consideration for the exact solitary wave solutions. These equations are visible in a vast range of conditions, including not only biological and chemical and physical disciplines, as well as in the environmental and social sciences. The well-known approach namely as generalized Riccati equation mapping method (GREM) is employed to produce closed form exact solitary wave solutions to a particular coupled non-linear diffusion reaction equations. After applying this method, we perceive analytical solutions in the form of exponential, trigonometric, rational and hyperbolic functions. Moreover, for the physical interpretation, some solutions are drawn in the form of 3-D, 2-D, and corresponding contours for the different values