Revisitation of "implicit quiescent optical solitons with complex Ginzburg-Landau equation having nonlinear chromatic dispersion": generalized temporal evolution

This paper is a revisitation to the study on the retrieval of quiescent optical solitons to the complex Ginzburg-Landau equation that is considered with generalized temporal evolution and nonlinear chromatic dispersion. The results are recovered with the application of Lie symmetry. Apart from a couple of self-phase modulation structures where the results are in quadratures, the integrals are with a range of special functions. Two new forms of self-phase modulation structures are addressed in the paper.