Exp-function method for solitary and periodic solutions of Fitzhugh-Nagumo equation

Purpose - The purpose of this paper is to apply exp-function method to construct generalized solitary and periodic solutions of Fitzhugh-Nagumo equation, which plays a very important role in mathematical physics and engineering sciences.Design methodology approach - The authors apply exp-function method to construct generalized solitary and periodic solutions of Fitzhugh-Nagumo equation.Findings - Numerical results clearly indicate the reliability and efficiency of the proposed exp-function method. The suggested algorithm is quite efficient and is practically well suited for use in these problems.Originality value - In this paper, the authors applied the exp-function method to obtain solutions of the Fitzhugh-Nagumo equation and show that the exp-function method gives more realistic solutions without disturbing the basic physics of the physical problems.