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An optical kink is a shock-wave-like field structure which can appear in aresonant two-level medium as a result of the nonlinear process ofself-steepening. We numerically simulate this process using an adiabaticallyswitching waveform as an input and confirm the self-similarity of resultingkinks. The analysis is also applicable to a more general waveform with adecaying trailing edge which we call a kinklike pulse. We study in detailcollisions of kinks with other kinks and ultrashort pulses and demonstrate thepossibility to control kink speed by changing the parameters ofcounterpropagating fields. The effects considered can be treated as belongingto a wide class of unexplored phenomena in the regime of incoherentlight-matter interaction.

Optical kinks and kink-kink and kink-pulse interactions in resonant two-level media