Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method

被引：108
作者：
Abbasbandy, S. [1 ,2 ]
机构：
[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran 14778, Iran
[2] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916818, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2008年 / 32卷 / 12期
关键词：
Fitzhugh-Nagumo equation; Newell-Whitehead equation; homotopy analysis method; soliton solution; series solution;
D O I：
10.1016/j.apm.2007.09.019
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An analytic technique, the homotopy analysis method (HAM), is applied to obtain the soliton solution of the Fitzhugh-Nagumo equation. The homotopy analysis method (HAM) is one of the most effective method to obtain the exact solution and provides us with a new way to obtain series solutions of such problems. HAM contains the auxiliary parameter (h) over bar, which provides us with a simple way to adjust and control the convergence region of series solution. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：2706 / 2714
页数：9
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