| New Exact Solutions and Dynamics in （3＋1）-Dimensional Gross-Pitaevskii Equation with Repulsive Harmonic Potential |
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| 引用本文： | 王晓丽,武振华.New Exact Solutions and Dynamics in （3＋1）-Dimensional Gross-Pitaevskii Equation with Repulsive Harmonic Potential[J].理论物理通讯,2014(5):583-589. |
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| 作者姓名： | 王晓丽 武振华 |
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| 作者单位： | [1]School of Science, Qilu University of Technology, Jinan 250353, China [2]Integrated Electronic Systems Lab Co. Ltd, Jinan 250100, China |
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| 基金项目： | Supported by National Natural Science Foundation of China under Grant Nos.11375030 and 61304133 |
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| 摘 要： | Using an improved homogeneous balance principle and an F-expansion technique, we construct the new exact periodic traveling wave solutions to the （3＋1）-dimensional Gross-Pitaevskii equation with repulsive harmonic potential. In the limit cases, the solitary wave solutions are obtained as well. We also investigate the dynamical evolution of the solitons with a time-dependent complicated potential.
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| 关 键 词： | 调和势 方程 精确解 齐次平衡原则 F-展开法 周期行波解 动力学演化 时间相关 |
New Exact Solutions and Dynamics in （3＋1）-Dimensional Gross-Pitaevskii Equation with Repulsive Harmonic Potential |
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| Abstract: | Gross-Pitaevskii equation, exact solution, solitory wave, periodic wave, F-expansion |
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| Keywords: | Gross-Pitaevskii equation exact solution solitory wave periodic wave F-expansion |
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