Implicit quiescent optical soliton perturbation with nonlinear chromatic dispersion and generalized temporal evolution having a plethora of self-phase modulation structures by Lie symmetry

This paper recovers implicit quiescent perturbed optical solitons that emerge from the nonlinear Schrödinger equation with Hamiltonian perturbation terms having arbitrary intensity. The model is considered in the context of generalized temporal evolution and nonlinear chromatic dispersion. Eighteen forms of self-phase modulation structures are taken into account. The integration is carried out by the implementation of Lie symmetry. The parameter constraints that guarantee the existence of these solitons are also presented.