Bright soliton solution of a Gross-Pitaevskii equation

Bright soliton solution of a Gross-Pitaevskii equation
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Gross-Pitaevskii 方程的亮孤子解

DOI:
10.1016/j.aml.2013.02.002
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发表时间:
2013-07
影响因子:
3.7
通讯作者:
Huang, Zhe
Huang, Zhe
中科院分区:
数学2区
文献类型:
--
作者:
Ma, Manjun;Huang, Zhe

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本文从理论和数值上研究了一维(雪茄形)玻色-爱因斯坦凝聚体(BEC)在一维光学晶格中的Gross-Pitaevskii方程的亮孤子解。利用变分近似导出了亮孤子的解析表达式,它与数值结果在一定范围内的势参数完全匹配。此外,我们还确定了亮孤子解的持久性和非持久性的参数域。
We theoretically and numerically study the bright soliton solutions of a Gross–Pitaevskii equation governing one-dimensional (1D)(cigar-shaped) Bose–Einstein condensates (BEC) trapped in an optical lattice of 1D structure. The analytical expression of bright soliton is derived by using the variational approximation, which completely matches the numerical results with a range of potential’s parameters. Moreover, we determined the parameter domains for the persistence and non-persistence of bright soliton solutions.
DOI: 10.1103/physreva.27.3135
发表时间: 1983-01-01
期刊: PHYSICAL REVIEW A
影响因子: 2.9
作者:
ANDERSON, D
通讯作者: ANDERSON, D
DOI: 10.1063/1.1703944
发表时间: 1963-01-01
影响因子: 1.3
作者:
GROSS, EP
通讯作者: GROSS, EP