1
Department of Mechanical Engineering,Abhar Islamic Azad University
2
Department of Mechanical Engineering,University of Alberta
3
Department of Civil Engineering,University of Alberta
Abstract
Abstract. 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 dicult 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
e ectively, easily and accurately solve a large class of nonlinear problems with approximations converging
rapidly to accurate solutions.
Ganji,D , Sadighi,A and Ganjavi,B . (2009). Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method. (e3002). Scientia Iranica, 16(2), e3002
MLA
Ganji,D , , Sadighi,A , and Ganjavi,B . "Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method" .e3002 , Scientia Iranica, 16, 2, 2009, e3002.
HARVARD
Ganji D, Sadighi A, Ganjavi B. (2009). 'Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method', Scientia Iranica, 16(2), e3002.
CHICAGO
D Ganji, A Sadighi and B Ganjavi, "Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method," Scientia Iranica, 16 2 (2009): e3002,
VANCOUVER
Ganji D, Sadighi A, Ganjavi B. Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method. Scientia Iranica. 2009;16(2):e3002.
