Metastable soliton necklaces supported by fractional diffraction and competing nonlinearities
Pengfei Li,
Boris A. Malomed,
Dumitru Mihalache
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 … Show more
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