Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations

被引：27

作者：

Rafei, M. ^{[1
]}

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

Daniali, H. R. Mohammadi ^{[1
]}

Pashaei, H. ^{[1
]}

机构：

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

来源：

PHYSICS LETTERS A | 2007年 / 364卷 / 01期

关键词：

homotopy perturbation method; regularized long-wave equation; generalized modified Boussinesq equation; nonlinear partial differential equations; APPROXIMATE SOLUTION TECHNIQUE; SOLITARY-WAVE SOLUTIONS; DECOMPOSITION METHOD; SMALL PARAMETERS; KDV EQUATION; BIFURCATION; EXPLICIT;

D O I：

10.1016/j.physleta.2006.11.047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, He's homotopy perturbation method (HPM) is implemented for finding the solitary-wave solutions of the regularized long-wave (RLW) and generalized modified Boussinesq (GMB) equations. We obtain numerical solutions of these equations for the initial conditions. We will show that the convergence of the HPM is faster than those obtained by the Adomian decomposition method (ADM). The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy. A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1 / 6

页数：6

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