248 citations · 2.6k across the 72 of their papers we have counts for
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Symmetry-breaking bifurcations of pure-quartic solitons in dual-core couplers
Pengfei Li, Liangliang Dong, Dumitru Mihalache +1
We investigate spontaneous symmetry- and antisymmetry-breaking bifurcations of solitons in a nonlinear dual-core waveguide with the pure-quartic dispersion and Kerr nonlinearity. S…
Second-harmonic generation in the system with fractional diffraction
Pengfei Li, Hidetsugu Sakaguchi, Liangwei Zeng +3
We construct a family of bright optical solitons composed of fundamental frequency (FF) and second-harmonic (SH) components in the one-dimensional (planar) waveguide with the quadr…
Flat-floor bubbles, dark solitons, and vortices stabilized by inhomogeneous nonlinear media
Liangwei Zeng, Boris A. Malomed, Dumitru Mihalache +4
We consider one- and two-dimensional (1D and 2D) optical or matter-wave media with a maximum of the local self-repulsion strength at the center, and a minimum at periphery. If the…
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…
Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension
Liangwei Zeng, Dumitru Mihalache, Boris A. Malomed +4
We construct families of fundamental, dipole, and tripole solitons in the fractional Schrödinger equation (FSE)\ incorporating self-focusing cubic and defocusing quintic terms modu…
Bubbles and W-shaped solitons in Kerr media with fractional diffraction
Liangwei Zeng, Boris A. Malomed, Dumitru Mihalache +4
We demonstrate that, with the help of a Gaussian potential barrier, dark modes in the form of a local depression ("bubbles") can be supported by the repulsive Kerr nonlinearity in…