18 citations · 28 across the 3 of their papers we have counts for
6 papers
Symmetry-breaking bifurcations and ghost states in the fractional nonlinear Schrödinger equation with a PT-symmetric potential
Pengfei Li, Boris A. Malomed, Dumitru Mihalache
We report symmetry-breaking and restoring bifurcations of solitons in a fractional Schrödinger equation with the cubic or cubic-quintic (CQ) nonlinearity and a parity-time (PT)-sym…
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…
Optical solitons in media with focusing and defocusing saturable nonlinearity and a parity-time-symmetric external potential
Pengfei Li, Dumitru Mihalache, Boris A. Malomed
We report results for solitons in models of waveguides with focusing or defocusing saturable nonlinearity and a parity-time(PT )-symmetric complex-valued external potential of the…
Optical Solitons in PT-symmetric Potentials with Competing Cubic-Quintic Nonlinearity: Existence, Stability, and Dynamics
Pengfei Li, Lu Li, Dumitru Mihalache
We address the properties of optical solitons that form in media with competing cubic-quintic nonlinearity and parity-time(PT)-symmetric complex-valued external potentials. The mod…