Abstract
We introduce spatiotemporally expanding self-similar light bullets and vortex torus solutions to the (3+1)D nonlinear Schrödinger equation with gain. In the absence of an initial vorticity, we demonstrate an expanding solution with a parabolic intensity profile and linear spatiotemporal chirp. With a nonzero initial vorticity, expanding vortex torus solutions with a centrally embedded phase singularity are found. Such expanding self-similar structures suggest a route towards a new regime of collapse-free spatiotemporal nonlinear optics.
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