Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method

被引：0

作者：

Sadighi, A. ^{[1
]}

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

Ganjavi, B. ^{[2
]}

机构：

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

[2] Babol Univ Technol, Dept Civil Engn, Babol Sar, Iran

来源：

SCIENTIA IRANICA TRANSACTION B-MECHANICAL ENGINEERING | 2009年 / 16卷 / 02期

关键词：

Sine-Gordon equation; Coupled sine-Gordon equation; Homotopy-perturbation method; Traveling wave solution; VARIATIONAL ITERATION METHOD; EXP-FUNCTION METHOD; NONLINEAR EQUATIONS; NUMERICAL-SOLUTION; KDV EQUATION; CONSTRUCTION; SYSTEMS;

D O I：

暂无

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this research, the Homotopy-Perturbation Method (HPM) has been used for solving sine-Gordon and coupled sine-Gordon equations, which have a wide range of applications in physics. HPM deforms a difficult problem into a simple one which can be easily solved. The results obtained by HPM are then compared with those of the Adomian Decomposition Method (ADM). The method has been shown to effectively, easily and accurately solve a large class of nonlinear problems with approximations converging rapidly to accurate solutions.

引用

页码：189 / 195

页数：7

共 39 条

[1] Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method [J].