Abstract
It is shown that optical pulses in dispersive media with dissipation and saturable broadband gain experience frequency self-shifting toward the point of zero group-velocity dispersion. The decreasing dispersion leads to a strong compression of the pulses at constant pulse energy. The ultrashort pulses that result from this evolution have a duration limited only by the third-order group-velocity dispersion of the medium. A set of solitonlike pulses is found that has a continuous spectrum of velocities, and a selection rule is presented to determine the unique solution established from an arbitrary initial pulse form.
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