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

作者：Dehghan Mehdi^*; Hens Jalil Manafian; Saadatmandi Abbas

来源：International Journal of Numerical Methods for Heat and Fluid Flow, 2011, 21(6-7): 736-753.

DOI：10.1108/09615531111148482

• The Exp-function method
• Fitzhugh-Nagumo equation
• Solitary and soliton solutions
• Population genetics

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.

• 出版日期2011