Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction
We model the three-dimensional (3D) trapped Bose-Einstein condensate with the Gross-Pitaevskii equation (GPE) incorporating higher-order nonlinear interaction effects. Based on the F-expansion method and self-similar approach, we analytically derive the exact soliton solutions of the 3D GPE, identif...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2017-08-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.4999336 |
| _version_ | 1819055801980944384 |
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| author | Ying Wang Shuyu Zhou |
| author_facet | Ying Wang Shuyu Zhou |
| author_sort | Ying Wang |
| collection | DOAJ |
| description | We model the three-dimensional (3D) trapped Bose-Einstein condensate with the Gross-Pitaevskii equation (GPE) incorporating higher-order nonlinear interaction effects. Based on the F-expansion method and self-similar approach, we analytically derive the exact soliton solutions of the 3D GPE, identifying the oscillatory mode under certain experimental settings. The oscillatory kinetic parameter values we obtained coincide very well with those reported in previous work, which is based on the variational approach, showing the applicability of the theoretical treatment presented in this work. |
| first_indexed | 2024-12-21T13:13:18Z |
| format | Article |
| id | doaj.art-a1ad44d69f504d65990ee0efc8d29b77 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-21T13:13:18Z |
| publishDate | 2017-08-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-a1ad44d69f504d65990ee0efc8d29b772022-12-21T19:02:49ZengAIP Publishing LLCAIP Advances2158-32262017-08-0178085006085006-710.1063/1.4999336027708ADVSoliton dynamics for trapped Bose-Einstein condensate with higher-order interactionYing Wang0Shuyu Zhou1School of Science, Jiangsu University of Science and Technology, Jiangsu 212003, ChinaKey Laboratory for Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, The Chinese Academy of Sciences, Shanghai 201800, ChinaWe model the three-dimensional (3D) trapped Bose-Einstein condensate with the Gross-Pitaevskii equation (GPE) incorporating higher-order nonlinear interaction effects. Based on the F-expansion method and self-similar approach, we analytically derive the exact soliton solutions of the 3D GPE, identifying the oscillatory mode under certain experimental settings. The oscillatory kinetic parameter values we obtained coincide very well with those reported in previous work, which is based on the variational approach, showing the applicability of the theoretical treatment presented in this work.http://dx.doi.org/10.1063/1.4999336 |
| spellingShingle | Ying Wang Shuyu Zhou Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction AIP Advances |
| title | Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction |
| title_full | Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction |
| title_fullStr | Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction |
| title_full_unstemmed | Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction |
| title_short | Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction |
| title_sort | soliton dynamics for trapped bose einstein condensate with higher order interaction |
| url | http://dx.doi.org/10.1063/1.4999336 |
| work_keys_str_mv | AT yingwang solitondynamicsfortrappedboseeinsteincondensatewithhigherorderinteraction AT shuyuzhou solitondynamicsfortrappedboseeinsteincondensatewithhigherorderinteraction |