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


  • MRIDULA GARG Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India
  • LATA CHANCHLANI Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India


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


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.


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