Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking

V. Skarka, N. B. Aleksić, M. Lekić, B. N. Aleksić, B. A. Malomed, D. Mihalache, and H. Leblond
Phys. Rev. A 90, 023845 – Published 25 August 2014
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Abstract

We propose a complex Ginzburg-Landau equation (CGLE) with localized linear gain as a two-dimensional model for pattern formation proceeding via spontaneous breaking of the axial symmetry. Starting from steady-state solutions produced by an extended variational approximation, simulations of the CGLE generate a vast class of robust solitary structures. These are varieties of asymmetric rotating vortices carrying the topological charge (TC), and four- to ten-pointed revolving stars, whose angular momentum is decoupled from the TC. The four- and five-pointed stars feature a cyclic change of their structure in the course of the rotation.

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  • Received 12 May 2013

DOI:https://doi.org/10.1103/PhysRevA.90.023845

©2014 American Physical Society

Authors & Affiliations

V. Skarka1,2,*, N. B. Aleksić2,3, M. Lekić2, B. N. Aleksić2,3, B. A. Malomed4, D. Mihalache5, and H. Leblond1

  • 1Laboratoire de Photonique d’Angers, EA 4464, Université d’Angers, 2 Boulevard Lavoisier, 49045 Angers Cedex 01, France
  • 2Institute of Physics, University of Belgrade, 11000 Belgrade, Serbia
  • 3Texas A&M University at Qatar, PO Box 23874, Doha, Qatar
  • 4Department of Physical Electronics, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
  • 5Horia Hulubei National Institute for Physics and Nuclear Engineering, 407 Atomistilor, Magurele-Bucharest, 077125, Romania

  • *vladimir.skarka@univ-angers.fr

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Issue

Vol. 90, Iss. 2 — August 2014

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