Generation and propagation properties of spatiotemporal necklace-ring solitons in the Ginzburg-Landau equation with an umbrella-shaped potential

We investigate the generation and propagation properties of spatiotemporal necklace-ring solitons(NRSs) from the vortex with the topological charges in three-dimensional complex Ginzburg-Landau equation (3D-CGLE) with an umbrella-shaped potential (USP).Under the action of the umbrella-shaped potential, the evolution dynamics of spatiotemporal necklace-ring solitons are studied comprehensively and thoroughly. The formation of spatiotemporal necklace-ring solitons does not only depend on the umbrella-shaped potential but also transmission properties. As the appropriate potential and its parameters are given, the vortices with S=2 can evolve the spatiotemporal necklace-ring solitons more …