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Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction
Author(s) -
Ying Wang,
Shuyu Zhou
Publication year - 2017
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4999336
Subject(s) - bose–einstein condensate , soliton , physics , work (physics) , nonlinear system , dynamics (music) , kinetic energy , order (exchange) , classical mechanics , quantum mechanics , finance , acoustics , economics
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

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