Stable vortex solitons in the two-dimensional Ginzburg-Landau equation.

  title={Stable vortex solitons in the two-dimensional Ginzburg-Landau equation.},
  author={L C Crasovan and Boris A. Malomed and Dumitru Mihalache},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={63 1 Pt 2},
In the framework of the complex cubic-quintic Ginzburg-Landau equation, we perform a systematic analysis of two-dimensional axisymmetric doughnut-shaped localized pulses with the inner phase field in the form of a rotating spiral. We put forward a qualitative argument which suggests that, on the contrary to the known fundamental azimuthal instability of spinning doughnut-shaped solitons in the cubic-quintic NLS equation, their GL counterparts may be stable. This is confirmed by massive direct… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
15 Extracted Citations
0 Extracted References
Similar Papers

Citing Papers

Publications influenced by this paper.
Showing 1-10 of 15 extracted citations

Similar Papers

Loading similar papers…