Ankiewicz, Adrian; Soto-Crespo, J; Devine, Natasha; Akhmediev, Nail
By using a reduced model for dissipative optical soliton beams, we show that there are two disjoint sets of fixed points. These correspond to stationary solitons of the radial complex cubic-quintic Ginzburg -Landau equation with concave and convex phase profiles, respectively. We confirm these results by numerical simulations which reveal soliton solutions of two different types: continuously self-focussing and continuously self-defocusing.
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