73 citations · 245 across the 23 of their papers we have counts for
23 papers
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…
Parametrically driven pure-quartic solitons
Pengfei Li, Lijing Xing, Dongdong Wang +3
Parametrically driven solitons are self-trapped modes in various physical settings, including optics, magnetics, etc. So far, the analysis was focused on the existence, stability,…
Nonlinear quadrupole topological insulators
Rujiang Li, Wencai Wang, Yongtao Jia +3
Higher-order topological insulators (HOTIs) represent a family of topological phases that go beyond the conventional bulkboundary correspondence. d-dimensional n-th order HOTIs mai…
Transformation of topological optical states via spiral modulation in fractional-diffraction systems
Dongdong Wang, Xueqing He, Rujiang Li +3
We propose a scheme for manipulations of a variety of topological states in fractional optical systems through spiral modulation of the local refraction index. An analytical approx…
Pure-quartic domain-wall solitons as topological bits for data transmission
Pengfei Li, Jun Ruan, Shilong Liu +2
Domain walls (DWs) are topological defects produced by symmetry-breaking phase transitions. Although DWs have been the subject of much work due to their fundamental physical proper…
Effects of fractional diffraction on nonlinear PT phase transitions and stability of dark solitons and vortices
Xueqing He, Mingming Zhang, Pengfei Li +2
The wave propagation under the action of fractional diffraction has recently drawn increasing attention in nonlinear optics. Here, we address the effect of fractional diffraction o…
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…
Stabilization of Axisymmetric Airy Beams by Means of Diffraction and Nonlinearity Management in Two-Dimensional Fractional Nonlinear Schrödinger Equations
Pengfei Li, Yanzhu Wei, Boris A. Malomed +1
The propagation dynamics of two-dimensional (2D) ring-Airy beams is studied in the framework of the fractional Schrödinger equation, which includes saturable or cubic self-focusing…
Domain walls in fractional media
Shatrughna Kumar, Pengfei Li, Boris A. Malomed
Currently, much interest is drawn to the analysis of optical and matter-wave modes supported by the fractional diffraction in nonlinear media. We predict a new type of such states,…
Topological bulk solitons in a nonlinear photonic Chern insulator
Rujiang Li, Xiangyu Kong, Dongkai Hang +6
Nonlinearities in lattices with topological band structures can induce topological interfaces in the bulk of structures and give rise to bulk solitons in the topological bandgaps.…
Self-localized topological states in three dimensions
Rujiang Li, Pengfei Li, Yongtao Jia +1
Three-dimensional (3D) topological materials exhibit much richer phenomena than their lower-dimensional counterparts. Here, we propose self-localized topological states (i.e., topo…
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…
Multisoliton Newton's cradles and supersolitons in regular and PT-symmetric nonlinear couplers
Pengfei Li, Lu Li, Boris A. Malomed
We demonstrate the existence of stable collective excitation in the form of "supersolitons" propagating through chains of solitons with alternating signs (i.e., Newton's cradles bu…
Asymmetric optical amplifier based on parity-time symmetry
Rujiang Li, Pengfei Li, Lu Li
We design and optimize a waveguide structure consisted of three segments of PT-symmetric coupler. It can amplify the difference mode with the attenuation of the sum mode, so perfor…
Beam Dynamics in a Double-Channel Waveguide with Gain and Loss
Pengfei Li, Rujiang Li, Lu Li
A double-channel waveguide with gain and loss is addressed and the corresponding coupled-mode equations are established by employing the coupled mode approach. Based on the coupled…