Numerical Solution of Sawada-Kotera equation by using Iterative Methods

In this paper, the sawada-kotera equation is solved by using the adomian’s decompositionmethod, modified adomian’s decomposition method, variational iteration method, modifiedvariational iteration method, homotopy perturbation method, modified homotopyperturbation method and homotopy analysis method. the approximate solution of thisequation is calculated in the form of series which its components are computed by applyinga recursive relation. the existence and uniqueness of the solution and the convergenceof the proposed methods are proved. a numerical example is studied to demonstrate theaccuracy of the presented methods.