Application of the enhanced modified simple equation method for Burger-Fisher and modified Volterra equations

Abstract The enhanced modified simple equation method plays a vital role in finding an exact traveling wave solution of nonlinear evolution equations (NLEEs) in engineering and mathematical physics. In this article, we use the enhanced modified simple equation method to find the exact solutions of NLEEs via the Burger-Fisher equation and the modified Volterra equations and achieve exact solutions involving parameters. When the parameters receive special values, the solitary wave solutions are derived from the exact solutions. It is established that the enhanced modified simple equation method offers a further influential mathematical tool for constructing exact solutions of NLEEs in mathematical physics