Some new soliton solutions to the higher dimensional Burger–Huxley and Shallow water waves equation with couple of integration architectonic

Abstract

In this paper, we retrieve some traveling wave, periodic solutions, bell shaped, rational, kink and anti-kink type and Jacobi elliptic functions of Burger’s equation and Shallow water wave equation with the aid of various integration schemes like improved F-expansion scheme and Jacobi elliptic function method respectively. We also present our solutions graphically in various dimensions.

Keywords

• Integrability
• F-expansion scheme
• Jacobi elliptic function