Soliton solutions for the fifth-order KdV equation with the homotopy analysis method

被引：194
|
作者：
Abbasbandy, S. [1 ]
Zakaria, F. Samadian
机构：
[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34194, Iran
[2] Coll Etesam, Tehran 17747, Iran
来源：
NONLINEAR DYNAMICS | 2008年 / 51卷 / 1-2期
关键词：
KdV equation; homotopy analysis method; fifth-order KdV; soliton solution;
D O I：
10.1007/s11071-006-9193-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
An analytic technique, the homotopy analysis method (HAM), is applied to obtain the soliton solution of the fifth-order KdV equation. The homotopy analysis method (HAM) provides us with a new way to obtain series solutions of such problems. HAM contains the auxiliary parameter h, which provides us with a simple way to adjust and control the convergence region of series solution.
引用
收藏
页码：83 / 87
页数：5
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