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.
International Journal of Numerical Methods for Heat & Fluid Flow – Emerald Publishing
Published: Aug 9, 2011
Keywords: The Exp‐function method; Fitzhugh‐Nagumo equation; Solitary and soliton solutions; Population genetics
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