Abstract
We study transitions of stationary to pulsating solutions in the complex cubic-quintic Ginzburg-Landau equation (CCQGLE) in the presence of self-steepening (SS), and intrapulse Raman scattering (IRS) in the anomalous dispersion region under the influence of nonlinear gain. We have predicted by means of dynamical model and confirmed by numerical solution of the perturbed CCQGLE the existence of dissipative Raman solitons as well as the existence of Raman limit cycles in the complex CCQGLE in the presence of SS, IRS and large nonlinear gain. We have presented clear demonstrations of the most important property of the Raman limit cycle – its frequency dependence.
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