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Stabilization of higher-order vortices and multihump solitons in media with synthetic nonlocal nonlinearities

Stabilization of higher-order vortices and multihump solitons in media with synthetic nonlocal nonlinearities

We address the evolution of higher-order excited states, such as vortex and multihump solitons, in nonlocal media with synthetic, competing focusing and defocusing nonlinearities with different nonlocal transverse scales. We reveal that introduction of suitable competing effects makes possible the stabilization of vortex solitons with topological charge $m>2$, as well …