Exact solutions for non-linear Schrödinger equations by He's homotopy perturbation method

In this Letter, an analytical approximation to the solution of Schrödinger equations has been studied. Homotopy perturbation method introduced by He is employed to drive this analytical solution and results will be compared with Adomian decomposition method. We will obtain an efficient recurrence relation for solving these equations. To illustrate the ability and reliability of the method some examples are provided. The results reveal that the method is very effective and simple.