Solution of nonlinear q-schrخdinger equation by two dimensional q-differential transform method

Abstract

In the present paper, we first derive q-analogue of nonlinear Schrخdinger equation from its discrete version and then solve it by two-dimensional q-differential transform method. The solution is obtained in the form of a series and in the case , reduces to the exact solution of a nonlinear Schrخdinger equation studied by Borhanifa and Abazari. We also draw some graphs of solution for different values of the parameter q using the software Mathematica.

Keywords

• Two-dimensional q-differential transform method
• nonlinear q-Schrödinger equation.