Solution of generalized Drinfeld-Sokolov Equations by homotopy perturbation and Variational Iteration Methods

In this article, we find an approximate analytical solution of the system of generalized Drinfeld-Sokolov Equations (gDSE) by applying two relatively new iterative methods, i.e., the Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM). From the obtained results, we observed that both methods are effective and quite accurate for solving system of partial differential equations. The most attractive features of these methods lie in their simplicity and easy in implementation. The results obtained from both methods are compared with multiple soliton-like solutions. It is observed that the computed results are in good agreement with the published reference solutions.