21 citations · 21 across the 6 of their papers we have counts for
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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…
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…