Application of the Exp‐function method for solving a partial differential equation arising in biology and population genetics

Abstract

Purpose

The purpose of this paper is to use He's Exp‐function method (EFM) to construct solitary and soliton solutions of the nonlinear evolution equation.

Design/methodology/approach

This technique is straightforward and simple to use and is a powerful method to overcome some difficulties in the nonlinear problems.

Findings

This method is developed for searching exact traveling wave solutions of the nonlinear partial differential equations. The EFM presents a wider applicability for handling nonlinear wave equations.

Originality/value

The paper shows that EFM, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear evolution equations. Application of EFM to Fitzhugh‐Nagumo equation illustrates its effectiveness.

Citation

Dehghan, M., Manafian Heris, J. and Saadatmandi, A. (2011), "Application of the Exp‐function method for solving a partial differential equation arising in biology and population genetics", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 21 No. 6, pp. 736-753. https://doi.org/10.1108/09615531111148482