In this paper, the combined Laplace transform-homotopy perturbation method C(LT-HPM) is presented and used to solve the initial value problem for the sine-Gordon equation to obtain the approximate-exact solutions. The results obtained show the reliability and the efficiency of this method.
Digital Object Identifier (DOI)
"Combined Laplace Transform-Homotopy Perturbation Method for Sine-Gordon Equation,"
Applied Mathematics & Information Sciences: Vol. 10
, Article 19.
Available at: https://dc.naturalspublishing.com/amis/vol10/iss5/19