Two-dimensional solitons with hidden and explicit vorticity in bimodal cubic-quintic media.

@article{Desyatnikov2005TwodimensionalSW,
  title={Two-dimensional solitons with hidden and explicit vorticity in bimodal cubic-quintic media.},
  author={A. S. Desyatnikov and Dumitru Mihalache and Dumitru Mazilu and Boris A. Malomed and Cornelia Denz and Falk Lederer},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2005},
  volume={71 2 Pt 2},
  pages={026615}
}
We demonstrate that two-dimensional two-component bright solitons of an annular shape, carrying vorticities (m,+/-m) in the components, may be stable in media with the cubic-quintic nonlinearity, including the hidden-vorticity (HV) solitons of the type (m,-m) , whose net vorticity is zero. Stability regions for the vortices of both (m,+/-m) types are identified for m=1 , 2, and 3, by dint of the calculation of stability eigenvalues, and in direct simulations. In addition to the well-known… CONTINUE READING

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