73 citations · 245 across the 23 of their papers we have counts for
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Metastable soliton necklaces supported by fractional diffraction and competing nonlinearities
Pengfei Li, Boris A. Malomed, Dumitru Mihalache
We demonstrate that fractional cubic-quintic nonlinear Schrödinger equation,characterized by its Lévy index, maintains ring-shaped soliton clusters ("necklaces") carrying orbital a…
Symmetry breaking of spatial Kerr solitons in fractional dimension
Pengfei Li, Boris A. Malomed, Dumitru Mihalache
We study symmetry breaking of solitons in the framework of a nonlinear fractional Schrödinger equation (NLFSE), characterized by its Lévy index, with cubic nonlinearity and a symme…
Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity
Pengfei Li, Boris A. Malomed, Dumitru Mihalache
We address the existence and stability of vortex-soliton (VS) solutions of the fractional nonlinear Schrödinger equation (NLSE) with competing cubic-quintic nonlinearities and the…