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

TL;DR

This paper demonstrates that by introducing competing focusing and defocusing nonlinearities with different nonlocal scales, higher-order vortex and multi-hump solitons can be stabilized in media, overcoming their natural instability.

Contribution

It shows that synthetic nonlocal nonlinearities with competing effects enable stabilization of complex solitons previously unstable in natural media.

Findings

Stabilization of vortex solitons with topological charge m>2.

Stabilization of multi-hump solitons with p>4.

Synthetic nonlinearities extend soliton stability regimes.

Abstract

We address the evolution of higher-order excited states, such as vortex and multi-hump 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 as one-dimensional multi-hump solitons with number of humps p>4, all of which are highly unstable in natural nonlocal materials with focusing nonlinearities.