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Multicore vortex solitons in cubic–quintic nonlinear media with a Bessel lattice potential

Di Wu, Junhao Li, Xi Gao, Yi Shi, Yuan Zhao, Liangwei Dong, Boris A. Malomed, Ni Zhu and Siliu Xu

Chaos, Solitons & Fractals, 2025, vol. 192, issue C

Abstract: We propose a scheme to explore the existence, propagation, and manipulations of two-dimensional (2D) spatial multicore vortex solitons (VSs) and three-dimensional (3D) spatiotemporal vortex light bullets (VLBs) in media with the competing cubic–quintic nonlinearity, confined by azimuthally modulated Bessel lattices. Control parameters of the system include the cubic and quintic nonlinearity coefficients, integer azimuthal-modulation index (which is taken equal to the order of the Bessel function), and the lattice depth. Stable necklace- and ring-shaped VSs and VLBs with topological charges m=1,2, and 3 are found in the system, as well as unstable ones for higher values of m. Radii of the 2D VSs and 3D VLBs increase with the growth of m. The lattice depth produces a weaker effect onto the stability of the 3D VLBs in comparison to the 2D VSs. The results provide a novel approach for creating stable VSs and VLBs with higher topological charges.

Keywords: Vortex solitons; Light bullets; Competing nonlinearities; Bessel lattices; Stability (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077925000700

DOI: 10.1016/j.chaos.2025.116057

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