Exact solutions to the three-dimensional Gross-Pitaevskii equation with modulated radial nonlinearity
Wei-Ting Wang, Ying-Ying Li, Shi-Jie Yang
TL;DR
This paper derives exact solutions for the three-dimensional Gross-Pitaevskii equation with modulated radial nonlinearity, revealing vortex structures and shell-soliton features in Bose-Einstein condensates.
Contribution
It provides novel exact solutions to the 3D Gross-Pitaevskii equation with radial nonlinearity modulation, including vortex and shell-soliton configurations.
Findings
Solutions include vortices with various winding numbers
Radial distributions exhibit shell-soliton features
Exact solutions enhance understanding of BEC structures
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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