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., & 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), -.
MLA
D.D. Ganji; A. Sadighi; 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, -.
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), pp. -.
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): -.
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