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

نویسندگان
Ganjavi, B. ID 1
Ganji, D.D. ID 2
Sadighi, A. ID 3

1 Department of Civil Engineering,University of Alberta

2 Department of Mechanical Engineering,Abhar Islamic Azad University

3 Department of Mechanical Engineering,University of Alberta

doi
چکیده

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.

کلیدواژه‌ها
Sine-Gordon equation, Coupled sine-Gordon equation, Homotopy-perturbation method, Traveling wave solution