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

I. Towers·A. V. Buryak·R. A. Sammut·B. A. Malomed·L. C. Crasovan·D. Mihalache
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Abstract

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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I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L. C. Crasovan, D. Mihalache. 2001-09-14. Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation. https://doi.org/10.1016/s0375-9601(01)00565-5

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