Exact Solutions of Nonlinear Time Fractional Schr¨odinger Equation with a Generalized Fractional Conformable Derivative

Ponente(s): Badar E Alam N/a, Dr. Guillermo Fern´andez Anaya Dr. Morales Luna Gesuri

The primary purpose of this poster is to seek exact traveling wave solutions for the nonlinear fractional Schr¨odinger equation in the time variable using conformable derivatives. The modified Kudryashov method, an analytical, powerful, and reliable approach, is used to solve the equation through a new fractional complex transfor- mation. By applying the modified Kudryashov method to the equation, we obtain explicit exact solutions expressed as fractional forms of exponential functions. The exact solutions derived from this method represent physical behav- iors, such as periodic traveling wave solutions. Some selected solutions of the equation are graphically portrayed, including 3D and 2D representations. Consequently, several innovative exact solutions of the equation are produced using this method, differing from those obtained with previously applied techniques.