A Comparison of Variational Iteration Method with Adomian's Decomposition Method in Some Highly Nonlinear Equations

In this paper, equations of Generalized Hirota-Satsuma coupled KdV equation, Kawahara equation and FKdV equations are solved through variational iteration method (VIM) and the results are compared with those of Adomian's decomposition method (ADM). In addition, we show that VIM is able to solve a large class of nonlinear problems effectively, more easily and accurately; and thus it has been widely applicable in engineering and physics.