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

Ying Wang; Shuyu Zhou

doi:10.1063/1.4999336

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

Ying Wang, Shuyu Zhou

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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.

Original language	English
Article number	085006
Journal	AIP Advances
Volume	7
Issue number	8
DOIs	https://doi.org/10.1063/1.4999336
State	Published - 1 Aug 2017
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1063/1.4999336

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title = "Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction",

abstract = "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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AB - 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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Soliton dynamics for trapped Bose-Einstein condensate with higher-order interaction

Abstract

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