Maleshkov, GeorgiNeshev, DragomirPetrova, ElitzaDreischuh, Alexander2015-12-102040-8978http://hdl.handle.net/1885/68710We study numerically and experimentally the propagation of pulsed singular beams, including dark crosses and optical vortices, in self-focusing nonlinear media, resulting in filamentation and supercontinuum generation. Our results show that the singular beams survive the process of modulation instability and appear well preserved in both the near and far field.Keywords: dark cross beams; filamentation; Optical vortices; Self-focusing; Singular beams; Nonlinear systems; Vortex flow; Focusing dark cross beams; filamentation; optical vortex; self-focusing; Singular beams201110.1088/2040-8978/13/6/0640152016-02-24