The bi-Hamiltonian structure of original Hirota-Satsuma system proposed by Roy based on a modification of the bi-Hamiltonian structure of Ito system is incorrect.

In this paper, the variational iteraton method is used for solving the Generalized HirotaSatsuma Coupled KdV ( GHS KdV ) equations. In this method general Lagrange multipliers are introduced to construct correction functionals for the models.In the current paper, we are applied this technique on interesting and important model.The results are compared with exact solution.