| 一维Tonks-Girardeau原子气区域中 Gross-Pitaevskii方程简化模型的精确行波解 |
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| 引用本文： | 徐园芬.一维Tonks-Girardeau原子气区域中 Gross-Pitaevskii方程简化模型的精确行波解[J].物理学报,2013,62(10):100202-100202. |
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| 作者姓名： | 徐园芬 |
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| 作者单位： | 浙江万里学院基础学院, 宁波 315101 |
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| 摘 要： | 利用动力系统方法研究一维Tonks-Girardeau原子气区域中Gross-Pitaevskii (GP)方程简化模型的一些精确行波解以及这些精确行波解的动力学行为, 研究系统的参数对行波解的动力学行为的影响. 在不同的参数条件下, 获得了一维Tonks-Girardeau原子气区域中GP方程简化模型的六个行波解的精确参数表达式.
关键词：
动力系统方法
孤立波解
周期波解
扭波解
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| 关 键 词： | 动力系统方法 孤立波解 周期波解 扭波解 |
| 收稿时间： | 2012-08-05 |
Exact traveling wave solutions for simplified model of Gross-Pitaevskii equation in the 1D-Tonks-Girardeau gas |
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| Xu Yuan-Fen.Exact traveling wave solutions for simplified model of Gross-Pitaevskii equation in the 1D-Tonks-Girardeau gas[J].Acta Physica Sinica,2013,62(10):100202-100202. |
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| Authors: | Xu Yuan-Fen |
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| Abstract: | By using a dynamical system method, in this paper studied are some exact traveling wave solutions and dynamic behaviors of these traveling wave solutions for simplified model of Gross-Pitaevskii (GP) equation in the 1D-Tonks-Girardeau gas. The effects of the behaviors on the parameters of the systems are also studied. Under different parametric conditions, six exact explicit parametric representations of the traveling wave solutions for simplified model of GP equation in the 1D-Tonks-Girardeau gas are given.
Keywords：
dynamical systems method
solitary wave solution
periodic wave solution
kink wave solution |
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| Keywords: | dynamical systems method solitary wave solution periodic wave solution kink wave solution |
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