Resonant solitons to the nonlinear Schrödinger equation with different forms of nonlinearities

In this research the conformable time-fractional resonant nonlinear Schrödinger equation with different forms of nonlinearities, including Kerr-law and parabolic-law has been studied. For this aim, the modified Kudryashov method and the sine-Gordon expansion approach have been adopted to retrieve a series of resonant solitons for the aforementioned model. The potential of the schemes in establishing soliton solutions of nonlinear time-fractional equations in the conformable sense is corroborated.