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Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity

Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity

We introduce a dynamical model of a Bose-Einstein condensate based on the two-dimensional Gross-Pitaevskii equation, in which the nonlinear coefficient is a function of radius. The model describes a situation with spatial modulation of the negative atomic scattering length, via the Feshbach resonance controlled by a properly shaped magnetic of …