| Analytical Solitary Wave Solutions to a （3＋1）-Dimensional Gross-Pitaevskii Equation with Variable Coefficients |
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| 作者姓名： | GAO Yuan LOU Sen-You |
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| 作者单位： | [1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China [2]Faculty of Science, Ningbo University, Ningbo 315211, China [3]School of Mathematics, Fudan University, Shanghai 200433, China |
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| 基金项目： | Supported by the National Natural Science Foundations of China under Grant Nos. 10735030, 10475055, 10675065 and 90503006, National Basic Research Program of China （973 Program 2007CB814800） and PCSIRT （IRT0734）, the Research Fund of Postdoctoral of China under Grant No. 20070410727 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 20070248120 The authors are indebt to thank Drs. X.Y. Tang, X.Y. Jiao, and M. Jia for their help discussions. |
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| 摘 要： | A （3＋1）-dimensional Gross-Pitaevskii （GP） equation with time variable coefficients is considered, and is transformed into a standard nonlinear Schrodinger （NLS） equation. Exact solutions of the （3＋1）D GP equation are constructed via those of the NLS equation. By applying specific time-modulated nonlinearities, dispersions, and potentials, the dynamics of the solutions can be controlled. Solitary and periodic wave solutions with snaking and breathing behavior are reported.
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| 关 键 词： | 变系数方程 孤立波解 总值 NLS方程 准非线性 时间调制 薛定谔 精确解 |
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