期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 45, 期 48, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/45/48/485203
关键词
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资金
- Finnish Cultural Foundation
- Turun Suomalainen Yliopistoseura and Academy of Finland
- Academy of Finland [133682]
- Academy of Finland (AKA) [133682, 133682] Funding Source: Academy of Finland (AKA)
We construct exact ring soliton-like solutions of the cylindrically symmetric (i.e. radial) Gross-Pitaevskii equation with a potential, using the similarity transformation method. Depending on the choice of the allowed free functions, the solutions can take the form of stationary dark or bright rings whose time dependence is in the phase dynamics only, or oscillating and bouncing solutions, related to the second Painleve transcendent. In each case the potential can be chosen to be time independent.
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