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

Abstract

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.