%0 Journal Article
%T Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Ganji, D.D.
%A Sadighi, A.
%A Ganjavi, B.
%D 2009
%\ 04/01/2009
%V 16
%N 2
%P -
%! Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method
%K Sine-Gordon equation
%K Coupled sine-Gordon equation
%K Homotopy-perturbation method
%K Traveling wave solution
%R
%X 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.
%U https://scientiairanica.sharif.edu/article_3002_febfe68a65cc38d579da78f1d44623d4.pdf