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.

Citation

Tauseef Mohyud‐Din, S., Khan, Y., Faraz, N. and Yıldırım, A. (2012), "Exp‐function method for solitary and periodic solutions of Fitzhugh‐Nagumo equation", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 3, pp. 335-341. https://doi.org/10.1108/09615531211208042