Generation of stable multi-vortex clusters in a dissipative medium with anti-cubic nonlinearity

Yunli Qiu, Boris A. Malomed, Dumitru Mihalache, Xing Zhu, Jianle Peng, Yingji He*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 input into the medium modeled by the cubic-quintic complex Ginzburg-Landau equation. The effect of the AC term on the beam propagation is investigated in detail. An analytical result is produced for the asymptotic form of fundamental and vortical solitons at the point of r→0, which is imposed by the AC term. Numerical simulations identify parameter domains that maintain stable dissipative solitons in the form of vortex clusters. The number of vortices in the clusters is equal to the vorticity embedded in the Gaussian input.

Original languageEnglish
Pages (from-to)2579-2583
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number22
StatePublished - 8 Aug 2019


FundersFunder number
Guangdong Province Education Department Foundation of China2014KZDXM059
Guangdong Province Nature Foundation of China2017A030311025
National Natural Science Foundation of China11774068, 61675001


    • Anti-cubic nonlinearity
    • Ginzburg-Landau equation
    • Vortex clusters


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