73 citations · 245 across the 23 of their papers we have counts for
9 papers · 1 filter
Quiescent and traveling solitons in the fractional parametrically driven damped nonlinear Schrödinger equation
Dongdong Wang, Rujiang Li, David Laroze +2
We systematically investigate the existence, stability, and dynamics of optical solitons in the framework of the one-dimensional nonlinear Schrödinger equation with the Riesz-fract…
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…
A solvable model for symmetry-breaking phase transitions
Shatrughna Kumar, Pengfei Li, Liangwei Zeng +2
Analytically solvable models are benchmarks in studies of phase transitions and pattern-forming bifurcations. Such models are known for phase transitions of the second kind in unif…
One-dimensional Townes solitons in dual-core systems with localized coupling
Shatrughna Kumar, Pengfei Li, Boris A. Malomed
The recent creation of Townes solitons (TSs) in binary Bose-Einstein condensates and experimental demonstration of spontaneous symmetry breaking (SSB) in solitons propagating in du…
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…
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…