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


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. 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.