Soliton gyroscopes in media with spatially growing repulsive nonlinearity
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We find that the recently introduced model of self-trapping supported by a spatially growing strength of a repulsive nonlinearity gives rise to robust vortex-soliton tori, i.e., three-dimensional vortex solitons, with topological charges S >= 1. The family with S = 1 is completely stable, while the one with S = 2 has alternating regions of stability and instability. The families are nearly exactly reproduced in an analytical form by the Thomas-Fermi approximation. Unstable states with S = 2 and 3 split into persistently rotating pairs or triangles of unitary vortices. Application of a moderate torque to the vortex torus initiates a persistent precession mode, with the torus' axle moving along a conical surface. A strong torque heavily deforms the vortex solitons, but, nonetheless, they restore themselves with the axle oriented according to the vectorial addition of angular momenta.
CitationDriben, R. [et al.]. Soliton gyroscopes in media with spatially growing repulsive nonlinearity. "Physical review letters", 15 Gener 2014, vol. 112, núm. 2, p. 020404-1-020404-5.