Weak Nonlinear Matter Waves in a Trapped Spin-1 Condensates

The dynamics of the weak non//near matter sofitary waves in a spin-1 condensates with harmonic external potential are investigated analytically by a perturbation method. It is shown that, in the small amplitude limit, the dynamics of the solitary waves are governed by a variable-coetficient Korteweg...

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Published inCommunications in theoretical physics Vol. 55; no. 4; pp. 583 - 588
Main Author 蔡宏强 杨树荣 薛具奎
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.04.2011
Subjects
Condensates
Exact solutions
KdV方程
Mathematical analysis
Matter waves
Nonlinear dynamics
Nonlinearity
Solitary waves
Solitons
凝聚物
动力学问题
振幅矢量
自旋波
解析表达式
非线性波
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ISSN0253-6102
DOI10.1088/0253-6102/55/4/10

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Summary:The dynamics of the weak non//near matter sofitary waves in a spin-1 condensates with harmonic external potential are investigated analytically by a perturbation method. It is shown that, in the small amplitude limit, the dynamics of the solitary waves are governed by a variable-coetficient Korteweg-de Vries （KdV） equation. The reduction to the （KdV） equation may be useful to understand the dynamics of nonlinear matter waves in spinor BECs. The analytical expressions for the evolution of soliton show that the small-amplitude vector solitons of the mixed types perform harmonic oscillations in the presence of the trap. Furthermore, the emitted radiation profiles and the soliton oscillation frequency are also obtained.
Bibliography:O353.2
O484.43
spin-1 condensate, weak nonlinear matter solitary wave, variable-coefficient KdV equation
11-2592/O3
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-6102
DOI:10.1088/0253-6102/55/4/10