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Self-similar deformation of three-wave stimulated Brillouin scattering (SBS) dissipative structures ("Brillouin quasi-solitons") yields superluminous behaviors. The authors discuss the relevancy of the various velocities involved in the nonlinear propagation of such complex structures, both in the ideal semi-infinite case and in a real-world Brillouin fiber ring laser experiment. Optical and acoustical group velocities greater than are shown to occur during pulse propagation in SBS solitondoi:10.1109/jstqe.2002.807967 fatcat:57rlgjykzndutpjyo73cokslra