Implicit quiescent optical solitons for complex ginzburg-landau equation with generalized quadratic-cubic form of self-phase modulation and nonlinear chromatic dispersion by lie symmetry

This work is on the retrieval of quiescent optical solitons for the complex Ginzburg-Landau equation that is with nonlinear chromatic dispersion and generalized structure of quadratic-cubic form of self-phase modulation. The Lie symmetry is applied to make this retrieval possible. The model is studied with linear temporal evolutions as well as generalized temporal evolution.