Chirped gray and singular optical solitons with generalized quadratic-cubic law of self-phase modulation and nonlinear chromatic dispersion

The objective of this study to investigate chirped gray and singular optical solitons with nonlinear chromatic dispersion. The proposed nonlinear effect is in the form of generalized quadratic-cubic (QC) of nonlinear refractive index. The temporal evolution of propagating pulses in the optical medium has a generalized expression. Based on an efficient mathematical technique, various structures of both gray and singular solitons are created with the existence conditions. The modulation instability of the discussed model is diagnosed by means of the linear stability analysis. The influence of generalized QC on the soliton evolutions is reported and it is noted that it enhances the amplitude of the gain spectrum.