Journal
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Volume 21, Issue 6-7, Pages 736-753Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/09615531111148482
Keywords
The Exp-function method; Fitzhugh-Nagumo equation; Solitary and soliton solutions; Population genetics
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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.
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