107 citations · 329 across the 16 of their papers we have counts for
6 papers · 1 filter
Propagation dynamics of the circular Airy Gaussian vortex beams in the fractional nonlinear Schrödinger equation
Shangling He, Kangzhu Zhou, Xi Peng +3
We have investigated the propagation dynamics of the circular Airy Gaussian vortex beams (CAGVBs) in a (2+1)-dimesional optical system discribed by fractional nonlinear Schrödinger…
Propagation dynamics of abruptly autofocusing circular Airy-Gaussian vortex beams in the fractional Schrödinger equation
Shangling He, Boris A. Malomed, Dumitru Mihalache +4
We introduce axisymmetric Airy-Gaussian vortex beams in a model of an optical system based on the (2+1)-dimensional fractional Schrödinger equation, characterized by its Lévy index…
Stabilization of single- and multi-peak solitons in the fractional nonlinear Schroedinger equation with a trapping potential
Yunli Qiu, Boris A. Malomed, Dumitru Mihalache +3
We address the existence and stability of localized modes in the framework of the fractional nonlinear Schroedinger equation (FNSE) with the focusing cubic or focusing-defocusing c…
Generation of stable multi-vortex clusters in a dissipative medium with anti-cubic nonlinearity
Y. Qiu, B. A. Malomed, D. Mihalache +3
We demonstrate the generation of vortex solitons in a model of dissipative optical media with the singular anti-cubic (AC) nonlinearity, by launching a vorticity-carrying Gaussian…
Generation of ring-shaped optical vortices in dissipative media by inhomogeneous effective diffusion
Shiquan Lai, Huishan Li, Yunli Qui +4
By means of systematic simulations we demonstrate generation of a variety of ring-shaped optical vortices (OVs) from a two-dimensional input with embedded vorticity, in a dissipati…
Two-dimensional gap solitons in elliptic-lattice potentials
Yingji He, Boris A. Malomed, Bambi Hu
We study two-dimensional (2D) matter-wave gap solitons trapped in an elliptically deformed concentric lattice potential, within the framework of the Gross-Pitaevskii equation (GPE)…