Novel Analytical Approaches for the Generalized Burgers-KdV Equation: A Comparative Study

Abstract

In order to get soliton wave solutions for the generalized Burgers-KdV equation, we apply the -expansion method. The description of the physical phenomena in nonlinear dynamic systems will be simplified by these solutions. Our work will demonstrate that when the different parameters are given, the -expansion approach yields various wave solutions. Exponential, trigonometric, rational, and hyperbolic functions are used to create the exact solutions. Graphs to some of the generated solutions are created by selecting the appropriate parameter values. Our answers correspond well with previously published results when compared to some specific situations but the rest are novel.