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

Application of the Exp‐function method for solving a partial differential equation arising in... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat & Fluid Flow Emerald Publishing

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

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Publisher
Emerald Publishing
Copyright
Copyright © 2011 Emerald Group Publishing Limited. All rights reserved.
ISSN
0961-5539
DOI
10.1108/09615531111148482
Publisher site
See Article on Publisher Site

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.

Journal

International Journal of Numerical Methods for Heat & Fluid FlowEmerald Publishing

Published: Aug 9, 2011

Keywords: The Exp‐function method; Fitzhugh‐Nagumo equation; Solitary and soliton solutions; Population genetics

References