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Stable Vortex Tori in the Three-Dimensional Cubic-Quintic Ginzburg-Landau Equation
Open accessAbstract
We demonstrate the existence of stable toroidal dissipative solitons with the inner phase field in the form of rotating spirals, corresponding to vorticity S=0, 1, and 2, in the complex Ginzburg-Landau equation with the cubic-quintic nonlinearity. The stable solitons easily self-trap from pulses with embedded vorticity. The stability is corroborated by accurate computation of growth rates for perturbation eigenmodes. The results provide the first example of stable vortex tori in a 3D dissipative medium, as well as the first example of higher-order tori (with S=2) in any nonlinear medium. It is found that all stable vortical solitons coexist in a large domain of the parameter space; in smaller regions, there coexist stable solitons with either S=0 and S=1, or S=1 and S=2.
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Cited by
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Metadata
- Authors
- Mihalache, D., Mazilu, D., Lederer, F., Kartashov, Y. V., Crasovan, L.-C., Torner, L., & Malomed, B. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-08-16
- Volume
- 97
- Issue
- 7
- Pages
- 073904-073904
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2071410871
- Cited by
- 178
- References
- 0
- FWCI
- 6.23
- Type
- journal article
- Language
- en
- Open access
- green
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- The paper
- Mihalache, D., Mazilu, D., Lederer, F., Kartashov, Y. V., Crasovan, L.-C., Torner, L., & Malomed, B. A. (2006). Stable Vortex Tori in the Three-Dimensional Cubic-Quintic Ginzburg-Landau Equation. Physical Review Letters. https://doi.org/10.1103/physrevlett.97.073904
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