Analytical approach to Some Highly Nonlinear Equations by means of the RVIM

In this work, Reconstruction of Variational Iteration Method (RVIM) is used for computing the Generalized Hirota-Satsuma coupled KdV equation, Kawahara equation and FKdV equations.This new applied algorithm is a powerful and efficient technique in finding the approximate solutions for the linear and nonlinear equations. RVIM as a method that based on Laplace transform has high rapid convergence and reduces the size of calculations using only few terms,so many linear and nonlinear equations can be solved by this method. Results are compared with those of Adomian’s decomposition method (ADM). The results of Reconstruction of Variational Iteration Method (RVIM) are of high concentration and the method is very effective and succinct

Keywords:

Reconstruction of Variational Iteration Method (RVIM) , Generalized Hirota-Satsuma coupled KdV equation , Kawahara equation , some FKdV equations