Exact solutions for non-linear Schrodinger equations by differential transformation method

In this paper, we implemented relatively new, exact series method of solution known as the differential transform method for solving linear and non-linear Schrodinger equations with initial profile. The method can easily be applied to many linear and non-linear problems and is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. The results obtained are in good agreement with the exact solution. These results show that the technique introduced here is accurate and easy to apply.