A new approach to exact optical soliton solutions for the nonlinear Schrodinger equation

By using the modified homotopy analysis transform method, we construct the analytical solutions of the space-time generalized nonlinear Schrodinger equation involving a new fractional conformable derivative in the Liouville-Caputo sense and the fractional-order derivative with the Mittag-Leffler law. Employing theoretical parameters, we present some numerical simulations and compare the solutions obtained.