61 citations · 61 across the 5 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…
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…
Generation of stable multi-vortex clusters in a dissipative medium with anti-cubic nonlinearity
Y. Qiu, B. A. Malomed, D. Mihalache +3
We demonstrate the generation of vortex solitons in a model of dissipative optical media with the singular anti-cubic (AC) nonlinearity, by launching a vorticity-carrying Gaussian…