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, H. Leblond

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number023845
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume90
Issue number2
DOIs
StatePublished - 25 Aug 2014

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