Abstract
This paper studies optical solitons and its perturbations that is governed by the generalized nonlinear Schrödinger's equation with non-Kerr law nonlinearities. The quasi-stationarity is applied, for the first time, to the non-Kerr law nonlinearity and an approximate solution is obtained. A few special cases of the non-Kerr law nonlinearities are considered. The study is conducted with nonlinear damping and saturable amplifiers which are treated as perturbation terms. Finally, the paper concludes with some numerical results.