Chirped Self-similar Pulse Propagation in Cubic-quintic Media

We consider nonlinear propagation of optical pulses in a cubic-quintic nonlinear medium wherein the pulse propagation is governed by the generalized nonlinear Schrödinger equation with varying dispersion, nonlinearity and gain/loss. Using the self-similar analysis, we present the generation of chirped bright solitons in the anomalous dispersion regime as well as the normal dispersion regime under the influence of both cubic and quintic nonlinearity. We also find the necessary and sufficient condition for the existence of the resulting self-similar solitary pulses through the physical parameters of the governing systems. Furthermore, our results show that the chirped solitons can be nonlinearly compressed cleanly and efficiently even in the presence of gain/loss. DOI: 10.2529/PIERS061011104435