title: Stable spatial and spatiotemporal optical soliton in the core of an optical vortex.
abstract: We demonstrate a robust, stable, mobile, two-dimensional (2D) spatial and three-dimensional (3D) spatiotemporal optical soliton in the core of an optical vortex, while all nonlinearities are of the cubic (Kerr) type. The 3D soliton can propagate with a constant velocity along the vortex core without any deformation. Stability of the soliton under a small perturbation is established numerically. Two such solitons moving along the vortex core can undergo a quasielastic collision at medium velocities. Possibilities of forming such a 2D spatial soliton in the core of a vortical beam are discussed.
authors.affiliation: Instituto de Física Teórica, Universidade Estadual Paulista, 01.140-070 São Paulo, São Paulo, Brazil.
authors.forename: S K
authors.initials: SK
authors.lastname: Adhikari