Spiny solitons and noise-like pulses

We have found new dissipative solitons in the laser model described by the complex cubic–quintic Ginzburg–Landau equation. These objects can be called “spiny solitons” because they chaotically generate spikes of extreme amplitude and ultrashort duration. We have calculated the probability density function of these spikes that demonstrate their rogue wave nature. We have also calculated the average profiles, autocorrelation functions, average spectra, and cross-correlation frequency-resolved optical gating diagram of the “spiny solitons.” They have no analogs among the noise-like pulses studied previously in experiments.

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