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arXiv · 1302.0445

Exact solutions to the three-dimensional Gross-Pitaevskii equation with modulated radial nonlinearity

Wei-Ting Wang·Ying-Ying Li·Shi-Jie Yang
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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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Wei-Ting Wang, Ying-Ying Li, Shi-Jie Yang. 2013-06-28. Exact solutions to the three-dimensional Gross-Pitaevskii equation with modulated radial nonlinearity. https://doi.org/10.1142/s0217984913501054

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