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

@article{Crasovan2001StableVS,
  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},
  year={2001},
  volume={63 1 Pt 2},
  pages={016605}
}
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

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