101 citations · 563 across the 17 of their papers we have counts for
13 papers · 1 filter
Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic-quintic nonlinear Schrödinger equations
Liangwei Zeng, Boris A. Malomed, Dumitru Mihalache +2
We study the formation and collision of one- and two-dimensional (1D and 2D) Gaussian-shaped and flat-top (FT) solitons in the framework of the nonlinear Schrödinger equation with…
One- and two-dimensional solitons under the action of the inverted cubic-quintic nonlinearity
Liangwei Zeng, Boris A. Malomed, Dumitru Mihalache +1
The usual cubic-quintic (CQ) nonlinearity is proved to sustain one- and two-dimensional (1D and 2D) broad (flat-top) solitons. In this work, we demonstrate that 1D and 2D soliton f…
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…
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…
Localized modes and dark solitons sustained by nonlinear defects
Liangwei Zeng, Vladimir V. Konotop, Xiaowei Lu +3
Dark solitons and localized defect modes against periodic backgrounds are considered in arrays of waveguides with defocusing Kerr nonlinearity constituting a nonlinear lattice. Bri…
Stable and oscillating solitons of -symmetric couplers with gain and loss in fractional dimension
Liangwei Zeng, Jincheng Shi, Xiaowei Lu +5
Families of coupled solitons of -symmetric physical models with gain and loss in fractional dimension and in settings with and without cross-interactions modulation (…
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…
One-dimensional gap solitons in quintic and cubic-quintic Fractional nonlinear Schrödinger equations with a periodically modulated linear potential
Liangwei Zeng, Jianhua Zeng
Competing nonlinearities, such as the cubic (Kerr) and quintic nonlinear terms whose strengths are of opposite signs (the coefficients in front of the nonlinearities), exist in var…
Gaussian-like and flat-top solitons of atoms with spatially modulated repulsive interactions
Liangwei Zeng, Jianhua Zeng
Solitons, nonlinear particle-like excitations with inalterable properties (amplitude, shape, and velocity) as they propagate, are omnipresent in many branches of science---and in p…
One-dimensional solitons in fractional Schrödinger equation with a spatially modulated nonlinearity: nonlinear lattice
Liangwei Zeng, Jianhua Zeng
The existence and stability of stable bright solitons in one-dimensional (1D) media with a spatially periodical modulated Kerr nonlinearity are demonstrated by means of the linear-…
Gap-type dark localized modes in a Bose-Einstein condensate with optical lattices
Liangwei Zeng, Jianhua Zeng
Bose-Einstein condensate (BEC) exhibits a variety of fascinating and unexpected macroscopic phenomena, and has attracted sustained attention in recent years--particularly in the fi…