A comparison study between decomposition method and its modification for solving different kinds of PDEs is presented. To demonstrate how these decomposition methods are effective and reliable for solving the non-linear PDEs, solutions of some its kinds subjected to initial conditions are attained by these methods. In the application of the methods, it is clearly noticed that there is no need to convert the nonlinear terms into the linear ones due to the Adomian polynomials. In addition to this simplicity, it is seen that each method gives the same exact solution with variant time of...