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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 203, Number 1, Pages 134–150
DOI: https://doi.org/10.4213/tmf9787 (Mi tmf9787) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Topological transformations of three-dimensional dissipative solitons in the framework of the generalized Ginzburg–Landau equation

N. N. Rosanovabc, S. V. Fedorovb, N. A. Veretenovb

a Vavilov State Optical Institute, St. Petersburg, Russia
b Ioffe Institute, RAS, St. Petersburg, Russia
c St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia
Full-text PDF (940 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9787
Abstract: We classify and analyze transformations of three-dimensional dissipative tangle-solitons, i.e., solitons with closed and nonclosed vortex lines, under smooth variations of the system parameters. An example of such a system is a laser medium with fast saturable absorption. We find several scenarios of both reversible and irreversible transformations and discuss the role of the dissipative property of the system (openness) in specific features of these phenomena.
Keywords: dissipative, laser, topological, three-dimensional soliton, hysteresis.
Funding agency Grant number
Russian Science Foundation 18-12-00075
This research is supported by a grant from the Russian Science Foundation (Project No. 18-12-00075). The computational resources of the Supercomputer Center “Polytechnical” of Peter the Great St. Petersburg Polytechnical University were used for numerical simulation.
Received: 31.07.2019
Revised: 01.11.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 1, Pages 547–560
DOI: https://doi.org/10.1134/S0040577920040108
Bibliographic databases:
Document Type: Article
PACS: 42.65.Tg
MSC: 78-02
Language: Russian
Citation: N. N. Rosanov, S. V. Fedorov, N. A. Veretenov, “Topological transformations of three-dimensional dissipative solitons in the framework of the generalized Ginzburg–Landau equation”, TMF, 203:1 (2020), 134–150; Theoret. and Math. Phys., 203:1 (2020), 547–560
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v203/i1/p134
    • This publication is cited in the following 2 articles:
    1. N. A. Veretenov, N. N. Rosanov, S. V. Fedorov, “Laser solitons: topological and quantum phenomena”, Phys. Usp., 65:2 (2022), 131–162  mathnet  crossref  crossref  adsnasa  isi
    2. D. Mihalache, “Localized structures in optical and matter-wave media: a selection of recent studies”, Rom. Rep. Phys., 73:2 (2021), 403  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:90
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