Abstract

Spatial dark solitons are known to be stable nonlinear localized waves in self-defocusing media. We demonstrate how to analyse the dynamics of dark solitons in the presence of small perturbations, and we consider the effect of two-photon absorption on dark solitons as a particular example. We also predict a new type of dark solitons of circular symmetry, ring dark solitons, which are stable against transverse perturbations but slowly change their parameters. Ring dark solitons may coexist with dark strips or optical vortex solitons displaying almost elastic interactions.

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