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.
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Acknowledgments
One of the authors (N. N. R.) thanks E. B. Aleksandrov and V. E. Zakharov for the support of this work.
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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.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 203, No. 1, pp. 134–150, April, 2020.
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Rosanov, N.N., Fedorov, S.V. & Veretenov, N.A. Topological transformations of three-dimensional dissipative solitons in the framework of the generalized Ginzburg—Landau equation. Theor Math Phys 203, 547–560 (2020). https://doi.org/10.1134/S0040577920040108
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DOI: https://doi.org/10.1134/S0040577920040108