We study existence, bifurcation and stability of two-dimensional optical solitons in the
framework of fractional nonlinear Schrödinger equation, characterized by its Lévy index, with …

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 …

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 …

We demonstrate that the fractional cubic-quintic nonlinear Schrödinger equation,
characterized by its Lévy index, maintains ring-shaped soliton clusters (“necklaces") carrying …

We investigate the mutual interaction of two spatially-separated Airy beams in the nonlinear
Schrödinger equation with the fractional Laplacian. Depending on the beam separation (d) …

We show that vector solitons can be stable in nonlinear fractional Schrödinger equations
with one-dimensional parity-time-symmetric optical lattices. The families of vector solitons …

We report on the existence and the stability of spatial solitons supported by one-dimensional
(1D) parity-time (PT)-symmetric optical lattices with self-focusing saturable nonlinearity in the …

We investigate a variable-coefficient fractional nonlinear Schrödinger (vc-FNLS) equation
with Wadati potential and PT-symmetric potential. We find the Lévy index can be used to …

Abstract Space-fractional quantum mechanics (SFQM) is a generalization of the standard
quantum mechanics when the Brownian trajectories in Feynman path integrals are replaced …

In this letter, we investigate localized states within a fractional optical system featuring self-
defocusing Kerr nonlinearity influenced by a disordered lattice. Modulating the disordered …