title: Spatiotemporal nonlinear optical self-similarity in three dimensions.
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.
authors: Department of Physics, Southeast University, Nanjing 210096, China.
authors: Shihua
authors: S
authors: Chen
authors: John M
authors: JM
authors: Dudley