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In this paper, we use the new fractional complex transform and the sub equation method to study the nonlinear fractional differential equations and find the exact solutions. These solitary wave solutions demonstrate the fact that solutions to the perturbed nonlinear Schrodinger equation with power law nonlinearity model can exhibit a variety of behaviors.

New Extension for Sub Equation Method and its Application to the Time-fractional Burgers Equation by using of Fractional Derivative