Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053317 | Applied Mathematics Letters | 2018 | 10 Pages |
Abstract
We demonstrate three-dimensional (3D) vortex solitary waves in the (3+1)D nonlinear Gross-Pitaevskii equation (GPE) with spatially modulated nonlinearity and a trapping potential. The analysis is carried out in spherical coordinates, providing for novel localized solutions, and the 3D vortex solitary waves are built that depend on three quantum numbers. Our analytical findings are corroborated by a direct numerical integration of the original equations. It is demonstrated that the vortex solitons found are stable for the quantum numbers nâ¤2, lâ¤2 and m=0,1, independent of the propagation distance.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Si-Liu Xu, Milivoj R. BeliÄ, Guo-Peng Zhou, Jun-Rong He, Xue-Li Xue-Li,