Metastable soliton necklaces supported by fractional diffraction and competing nonlinearities

Abstract

We demonstrate that fractional cubic-quintic nonlinear Schrödinger equation,characterized by its Lévy index, maintains ring-shaped soliton clusters ("necklaces") carrying orbital angular momentum. They can be built, in the respective optical setting, as circular chains of fundamental solitons linked by a vortical phase field. We predict semi-analytically that the metastable necklace-shaped clusters persist, corresponding to a local minimum of an effective potential of interaction between adjacent solitons in the cluster. Systematic simulations corroborate that the clusters stay robust over extremely large propagation distances, even in the presence of strong random perturbations.

arXiv commentTo be published in Optics Express

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Cited by in corpus (11)

• Fractional Integrable Nonlinear Soliton Equations
• Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension
• Quadratic fractional solitons
• Stable and oscillating solitons of $\mathcal{P}\mathcal{T}$-symmetric couplers with gain and loss in fractional dimension
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• One- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with fractional kinetic energy
• Domain walls in fractional media
• One-dimensional L{é}vy Quasicrystal
• A comparative study of focusing with scalar and vector beams in an active Raman gain system
• Metastable soliton necklaces confined by the boundary of a flattop region