Work

Stable Vortex Tori in the Three-Dimensional Cubic-Quintic Ginzburg-Landau Equation

Year: 2006

Type: article

Abstract: 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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.97.073904

Authors: D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, B. A. Malomed

Institutions: Institute of Photonic Sciences, Horia Hulubei National Institute for R and D in Physics and Nuclear Engineering, Friedrich Schiller University Jena, Universitat Politècnica de Catalunya, Tel Aviv University

Language: English

Topic: Nonlinear Photonic Systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2071410871

FWCI: 5.195

Cites: 23

Cited by: 179

Related to: 10