Exact solutions of time fractional generalized Burgers-Fisher equation using exp and exponential rational function methods

In this paper, we deployed the Exp Function (EF) and Exponential Rational Function (ERF) methods on the Time Fractional Generalized Burgers-Fisher Equation (TF-GBFE) to investigate its analytical solutions by means of conformable operator. By making use of travelling wave-like transformation on TF-GBFE, the similarity-transformed ordinary differential equation of TF-GBFE reveals the underlying unidirectional kink solutions by means of the Exp function method. More interestingly, the ERF method on TF-GBFE identifies the peakon-like solution and kink solutions. In addition to that we also obtained several particular solutions of TF-GBFE, expressed in terms of hyperbolic and exponential functions. Using 2D and 3D plots, these solutions are graphically illustrated and discussed in a detailed manner.