Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction

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...

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Main Authors: Ying Wang, Shuyu Zhou
Format: Article
Language:English
Published: AIP Publishing LLC 2017-08-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4999336
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spelling doaj-a1ad44d69f504d65990ee0efc8d29b772020-11-25T00:41:47ZengAIP 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
collection DOAJ
language English
format Article
sources DOAJ
author Ying Wang
Shuyu Zhou
spellingShingle Ying Wang
Shuyu Zhou
Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction
AIP Advances
author_facet Ying Wang
Shuyu Zhou
author_sort Ying Wang
title 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_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_sort soliton dynamics for trapped bose-einstein condensate with higher-order interaction
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2017-08-01
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.
url http://dx.doi.org/10.1063/1.4999336
work_keys_str_mv AT yingwang solitondynamicsfortrappedboseeinsteincondensatewithhigherorderinteraction
AT shuyuzhou solitondynamicsfortrappedboseeinsteincondensatewithhigherorderinteraction
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