Three-wave soliton excitations in a disk-shaped Bose-Einstein condensate

Chunliu Sun; Yousheng Xu; Weina Cui; Guoxiang Huang; Jacob Szeftel; Bambi Hu

doi:10.1142/S0217979205032322

Three-wave soliton excitations in a disk-shaped Bose-Einstein condensate

Chunliu Sun^*, Yousheng Xu, Weina Cui, Guoxiang Huang, Jacob Szeftel, Bambi Hu

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

2 Citations (Scopus)

Abstract

A three-wave resonant interaction of collective modes and related soliton excitations in a disk-shaped Bose-Einstein condensate are investigated. The phase-matching conditions for the resonant interaction are satisfied by suitably choosing the wavevectors and the frequencies of the collective modes. A set of nonlinearly coupled envelope equations describing the spatio-temporal evolution of the three-wave resonant interaction are derived by using a method of multiple-scales, and some explicit (2+1)-dimensional three-wave soliton solutions are also presented and discussed.

Original language	English
Pages (from-to)	3563-3574
Number of pages	12
Journal	International Journal of Modern Physics B
Volume	19
Issue number	23
DOIs	https://doi.org/10.1142/S0217979205032322
Publication status	Published - 20 Sept 2005

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Bose-Einstein condensation
Solitons
Three-wave interaction

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10.1142/S0217979205032322

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abstract = "A three-wave resonant interaction of collective modes and related soliton excitations in a disk-shaped Bose-Einstein condensate are investigated. The phase-matching conditions for the resonant interaction are satisfied by suitably choosing the wavevectors and the frequencies of the collective modes. A set of nonlinearly coupled envelope equations describing the spatio-temporal evolution of the three-wave resonant interaction are derived by using a method of multiple-scales, and some explicit (2+1)-dimensional three-wave soliton solutions are also presented and discussed.",

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T1 - Three-wave soliton excitations in a disk-shaped Bose-Einstein condensate

AU - Sun, Chunliu

AU - Xu, Yousheng

AU - Cui, Weina

AU - Huang, Guoxiang

AU - Szeftel, Jacob

AU - Hu, Bambi

PY - 2005/9/20

Y1 - 2005/9/20

N2 - A three-wave resonant interaction of collective modes and related soliton excitations in a disk-shaped Bose-Einstein condensate are investigated. The phase-matching conditions for the resonant interaction are satisfied by suitably choosing the wavevectors and the frequencies of the collective modes. A set of nonlinearly coupled envelope equations describing the spatio-temporal evolution of the three-wave resonant interaction are derived by using a method of multiple-scales, and some explicit (2+1)-dimensional three-wave soliton solutions are also presented and discussed.

AB - A three-wave resonant interaction of collective modes and related soliton excitations in a disk-shaped Bose-Einstein condensate are investigated. The phase-matching conditions for the resonant interaction are satisfied by suitably choosing the wavevectors and the frequencies of the collective modes. A set of nonlinearly coupled envelope equations describing the spatio-temporal evolution of the three-wave resonant interaction are derived by using a method of multiple-scales, and some explicit (2+1)-dimensional three-wave soliton solutions are also presented and discussed.

KW - Bose-Einstein condensation

KW - Solitons

KW - Three-wave interaction

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DO - 10.1142/S0217979205032322

M3 - Journal article

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VL - 19

SP - 3563

EP - 3574

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 23

ER -

Three-wave soliton excitations in a disk-shaped Bose-Einstein condensate

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