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

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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Article dans une revue
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https://hal.univ-angers.fr/hal-03204341
Contributeur : Okina Université d'Angers <>
Soumis le : mercredi 21 avril 2021 - 14:11:12
Dernière modification le : vendredi 23 avril 2021 - 03:32:11

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Vladimir Skarka, N.-B. Aleksić, M. Lekić, Boris Malomed, Dumitru Mihalache, et al.. Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking. Physical Review A, American Physical Society, 2014, 90 (2), pp.023845. ⟨10.1103/PhysRevA.90.023845⟩. ⟨hal-03204341⟩

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