Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives

This paper studies optical solitons with fractional temporal evolution in presence of Hamiltonian perturbation terms. The three types of nonlinearity are Kerr law, parabolic law and dual-power law. The first integral method with conformable fractional derivative is applied to retrieve soliton solutions to the model. Several constraint conditions guarantee the existence of such solitons.