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

doi:10.1016/j.physleta.2019.05.022

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

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

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 language	English
Pages (from-to)	2579-2583
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	383
Issue number	22
DOIs	https://doi.org/10.1016/j.physleta.2019.05.022
State	Published - 8 Aug 2019

Keywords

Anti-cubic nonlinearity
Ginzburg-Landau equation
Vortex clusters

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10.1016/j.physleta.2019.05.022

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title = "Generation of stable multi-vortex clusters in a dissipative medium with anti-cubic nonlinearity",

abstract = "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.",

keywords = "Anti-cubic nonlinearity, Ginzburg-Landau equation, Vortex clusters",

author = "Yunli Qiu and Malomed, {Boris A.} and Dumitru Mihalache and Xing Zhu and Jianle Peng and Yingji He",

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AU - Qiu, Yunli

AU - Malomed, Boris A.

AU - Mihalache, Dumitru

AU - Zhu, Xing

AU - Peng, Jianle

AU - He, Yingji

PY - 2019/8/8

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AB - 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.

KW - Anti-cubic nonlinearity

KW - Ginzburg-Landau equation

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

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