  Random excitation of intense periodic highly-localized single-cycle light
pulses in a stochastic background by continuous-wave stimulated Brillouin
scattering in long optical fibers with weak feedback is found experimentally.
Events with low period numbers are dominant and the optical feedback is crucial
for the phenomenon. A three-wave coupling model for the phenomenon is proposed.
The results are in good qualitative agreement with the observed phenomenon. The
latter should be relevant to the understanding of similar rogue wave events in
other nonlinear dissipative systems.
