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Exact solutions to the three-dimensional Gross-Pitaevskii equation with modulated radial nonlinearity
Published 3 Feb 2013 in cond-mat.quant-gas | (1302.0445v2)
Abstract: We study the Bose-Einstein condensate trapped in a three-dimensional spherically symmetrical potential. Exact solutions to the stationary Gross-Pitaevskii equation are obtained for properly modulated radial nonlinearity. The solutions contain vortices with different winding numbers and exhibit the shell-soliton feature in the radial distributions.
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