EXACT SOLUTIONS OF THE PERTURBED NONLINEAR FRACTIONAL SCHRODINGER EQUATION BY USING THE MODIFIED EXTENDED DIRECT ALGEBRAIC METHOD
NASIR TAGHIZADEH
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914, Rasht, Iran
MONA NAJAND FOUMANI *
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914, Rasht, Iran
*Author to whom correspondence should be addressed.
Abstract
In this paper, the modified extended direct algebraic method is used to construct exact complex solutions of the perturbed nonlinear fractional Schröodinger equation in the sense of the modfiied RiemannLiouville derivative. Based on the two transformations, the perturbed nonlinear fractional Schröodinger equation can be turned into nonlinear ordinary dierential equations of integer orders.
Keywords: New exact solutions, fractional calculus, the modied extended direct algebraic method, the perturbed nonlinear fractional Schrodinger equation