Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation

Details Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation

2001-09-14

arxiv.org/abs/nlin/0109013v1

Nonlinear Sciences

Pattern Formation and Solitons

10 pages, 5 figures, accepted to Phys. Lett. A

Scientific paper

10.1016/S0375-9601(01)00565-5

We investigate stability of (2+1)-dimensional ring solitons of the nonlinear Schrodinger equation with focusing cubic and defocusing quintic nonlinearities. Computing eigenvalues of the linearised equation, we show that rings with spin (topological charge) s=1 and s=2 are linearly stable, provided that they are very broad. The stability regions occupy, respectively, 9% and 8% of the corresponding existence regions. These results finally resolve a controversial stability issue for this class of models.

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