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

被引：198

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

页码：83 / 87

页数：5

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