Traveling wave solutions of the generalized Burgers-Huxley Equation

Abstract

Abstract In the field of mathematical sciences and engineering, traveling wave solutions serve as crucial for illustrating the wave nature of nonlinear problems. On the other hand, the fractional order nonlinear partial differential equations demonstrate the nonlinear physical phenomenon more accurately. As a result, investigations on such equations are of common interest to the researchers. In our article, we investigate the generalized Burgers-Huxley equation by means of the improved Bernoulli sub-equation function method (IBSEFM). Additionally, we study the bifurcation, and stability of the equilibria, and perform phase plane analysis of the model. The solutions and numerical analysis are drawn with the aid of the mathematical software Maple and the figures are obtained using MATLAB. It is expected that the investigation will be helpful in describing the nonlinear physical phenomena.