Sharif University of Technology Scientia Iranica 1026-3098 16 2 2009 04 01 Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method 3002 EN D.D. Ganji Department of Mechanical Engineering,Abhar Islamic Azad University A. Sadighi Department of Mechanical Engineering,University of Alberta B. Ganjavi Department of Civil Engineering,University of Alberta Journal Article 2009 06 06 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 eectively, easily and accurately solve a large class of nonlinear problems with approximations converging rapidly to accurate solutions. https://scientiairanica.sharif.edu/article_3002_febfe68a65cc38d579da78f1d44623d4.pdf