| Spatiotemporal self-similar solutions for the nonautonomous （3＋1）-dimensional cubic-quintic Gross-Pitaevskii equation |
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| 引用本文： | 戴朝卿,陈瑞品,王悦悦.Spatiotemporal self-similar solutions for the nonautonomous （3＋1）-dimensional cubic-quintic Gross-Pitaevskii equation[J].中国物理 B,2012(3):145-150. |
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| 作者姓名： | 戴朝卿 陈瑞品 王悦悦 |
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| 作者单位： | School of Sciences,Zhejiang Agricultural and Forestry University |
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| 基金项目： | Project supported by the National Natural Science Foundations of China （Grant No. 11005092）, the Program for Innovative Research Team of Young Teachers （Grant No. 2009RC01）, and the Scientific Research and Developed Fund of Zhejiang Agricultural and Forestry University, China （Grant No. 2009FK42）. |
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| 摘 要： | With the help of similarity transformation,we obtain analytical spatiotemporal self-similar solutions of the nonautonomous(3+1)-dimensional cubic-quintic Gross-Pitaevskii equation with time-dependent diffraction,nonlinearity,harmonic potential and gain or loss when two constraints are satisfied.These constraints between the system parameters hint that self-similar solutions form and transmit stably without the distortion of shape based on the exact balance between the diffraction,nonlinearity and the gain/loss.Based on these analytical results,we investigate the dynamic behaviours in a periodic distributed amplification system.
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| 关 键 词： | Gross-Pitaevskii equation similarity transformation self-similar solutions |
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