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Oblique spatial dark solitons in supersonic flow of Bose-Einstein condensate

In framework of the Gross-Pitaevskii mean field approach it is shown that supersonic flow of Bose- Einstein condensate can support a new type of pattern—an oblique spatial dark soliton. Exact spatial dark soliton solution of the Gross-Pitaevskii equation is obtained. It is demonstrated by numerical...

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Main Authors: Gennady El, A. Gammal, A.M. Kamchatnov
Format: Default Preprint
Published: 2006
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Online Access:https://hdl.handle.net/2134/1280
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author Gennady El
A. Gammal
A.M. Kamchatnov
author_facet Gennady El
A. Gammal
A.M. Kamchatnov
author_sort Gennady El (1258536)
collection Figshare
description In framework of the Gross-Pitaevskii mean field approach it is shown that supersonic flow of Bose- Einstein condensate can support a new type of pattern—an oblique spatial dark soliton. Exact spatial dark soliton solution of the Gross-Pitaevskii equation is obtained. It is demonstrated by numerical simulations that spatial solitons can be generated by an obstacle inserted into the flow. Connection of the developed theory with available experimental data is discussed.
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Preprint
id rr-article-9380318
institution Loughborough University
publishDate 2006
record_format Figshare
spelling rr-article-93803182006-01-01T00:00:00Z Oblique spatial dark solitons in supersonic flow of Bose-Einstein condensate Gennady El (1258536) A. Gammal (7160294) A.M. Kamchatnov (7160297) Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified In framework of the Gross-Pitaevskii mean field approach it is shown that supersonic flow of Bose- Einstein condensate can support a new type of pattern—an oblique spatial dark soliton. Exact spatial dark soliton solution of the Gross-Pitaevskii equation is obtained. It is demonstrated by numerical simulations that spatial solitons can be generated by an obstacle inserted into the flow. Connection of the developed theory with available experimental data is discussed. 2006-01-01T00:00:00Z Text Preprint 2134/1280 https://figshare.com/articles/preprint/Oblique_spatial_dark_solitons_in_supersonic_flow_of_Bose-Einstein_condensate/9380318 CC BY-NC-ND 4.0
spellingShingle Other mathematical sciences not elsewhere classified
untagged
Mathematical Sciences not elsewhere classified
Gennady El
A. Gammal
A.M. Kamchatnov
Oblique spatial dark solitons in supersonic flow of Bose-Einstein condensate
title Oblique spatial dark solitons in supersonic flow of Bose-Einstein condensate
title_full Oblique spatial dark solitons in supersonic flow of Bose-Einstein condensate
title_fullStr Oblique spatial dark solitons in supersonic flow of Bose-Einstein condensate
title_full_unstemmed Oblique spatial dark solitons in supersonic flow of Bose-Einstein condensate
title_short Oblique spatial dark solitons in supersonic flow of Bose-Einstein condensate
title_sort oblique spatial dark solitons in supersonic flow of bose-einstein condensate
topic Other mathematical sciences not elsewhere classified
untagged
Mathematical Sciences not elsewhere classified
url https://hdl.handle.net/2134/1280