HPM AND VIM METHODS FOR FINDING THE EXACT SOLUTIONS OF THE NONLINEAR DISPERSIVE EQUATIONS AND SEVENTH-ORDER SAWADA-KOTERA EQUATION

被引：19

作者：

Ganji, D. D. ^{[1
]}

Jamshidi, N. ^{[1
]}

Ganji, Z. Z. ^{[1
]}

机构：

[1] Mazandran Univ, Dept Mech Engn, Babol Sar, Iran

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2009年 / 23卷 / 01期

关键词：

Variational Iteration method (VIM); homotopy perturbation method (HPM); nonlinear dispersive equations; the seventh-order Sawada-Kotera equation; HOMOTOPY-PERTURBATION METHOD; VARIATIONAL ITERATION METHOD; SOLITARY-WAVE SOLUTIONS; KDV EQUATION; COMPACT;

D O I：

10.1142/S0217979209049607

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, nonlinear dispersive equations and seventh-order Sawada-Kotera equation are solved using homotopy perturbation method (HPM) and variational iteration method (VIM). The results obtained by the proposed methods are then compared with that of Adomian decomposition method (ADM). The comparisons demonstrate that the two obtained solutions are in excellent agreement. The numerical results calculated show that the methods can be accurately implemented to these types of nonlinear equations. The results of HPM and VIM confirm the correctness of those obtained by Adomian decomposition method.

引用

页码：39 / 52

页数：14

共 31 条

[21] New interpretation of homotopy perturbation method (vol 20, pg 2561, 2006) [J].