| Bose-Einstein 凝聚态中的一维Gross-Pitaevskii方程的包络周期解和孤立波解 |
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| 引用本文： | 高斌,刘式适,付遵涛,刘式达.Bose-Einstein 凝聚态中的一维Gross-Pitaevskii方程的包络周期解和孤立波解[J].北京大学学报(自然科学版),2009,45(6):931-936. |
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| 作者姓名： | 高斌 刘式适 付遵涛 刘式达 |
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| 作者单位： | 1. 北京大学物理学院,北京100871; 2.玉溪师范学院物理系,玉溪653100; |
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| 摘 要： | 非线性Schrdinger方程的精确解对于理解Bose-Einstein凝聚态动力学演化有重要的作用。应用Jacobi椭圆函数展开法, 求得描述Bose-Einstein凝聚态的一维Gross-Pitaevskii方程的包络周期解。在极限情况下, 包络周期解可导出包络孤立波解。
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| 关 键 词： | Gross-Pitaevskii方程 Jacobi椭圆函数 包络周期解 包络孤立波解 |
| 收稿时间： | 2009-04-12 |
Envelope Periodic and Solitary Solutions to One Dimensional Gross-Pitaevskii Equation in Bose-Einstein Condensates |
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| GAO Bin,LIU Shikuo,FU Zuntao,LIU Shida.Envelope Periodic and Solitary Solutions to One Dimensional Gross-Pitaevskii Equation in Bose-Einstein Condensates[J].Acta Scientiarum Naturalium Universitatis Pekinensis,2009,45(6):931-936. |
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| Authors: | GAO Bin LIU Shikuo FU Zuntao LIU Shida |
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| Institution: | 1. School of Physics, Peking University, Beijing 100871; 2.Department of Physics, Yuxi Normal University, Yuxi 653100; |
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| Abstract: | The construction of exact solutions of nonlinear Schrdinger equations plays an important role in understanding the dynamic evolution of Bose-Einstein condensates. The Jacobi elliptic function expansion method is applied to construct the envelope periodic solutions to one dimensional Gross-Pitaevskii equation in Bose-Einstein condensates. The envelope periodic solutions can degenerate to the envelope solitary solutions under the limited condition. |
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| Keywords: | Gross-Pitaevskii equation Jacobi elliptic function envelope periodic solution envelope solitary solution |
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