| 立方非线性Schr?dinger方程的动力学性质研究及其解模式的漂移 |
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| 引用本文： | 罗香怡,刘学深,丁培柱.立方非线性Schr?dinger方程的动力学性质研究及其解模式的漂移[J].物理学报,2007,56(2):604-610. |
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| 作者姓名： | 罗香怡 刘学深 丁培柱 |
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| 作者单位： | 吉林大学原子与分子物理研究所，长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号：10574057,10571074)和高等学校博士学科点专项科研基金(批准号：20050183010)资助的课题. |
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| 摘 要： | 采用辛算法数值求解一维立方非线性Schr?dinger方程，研究了随着非线性参数的变化立方非线性Schr?dinger方程的动力学性质和解的模式的漂移.数值结果表明，随着非线性参数的增加解模式的漂移速度越来越快.
关键词：
动力学性质
相轨线
解模式的漂移
辛算法
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| 关 键 词： | 动力学性质 相轨线 解模式的漂移 辛算法 |
| 文章编号： | 1000-3290/2007/56(02)/0604-07 |
| 收稿时间： | 2006-04-26 |
| 修稿时间： | 6/7/2006 12:00:00 AM |
Dynamic properties and drifting of the solution pattern of cubic nonlinear Schr?dinger equation with varying nonlinear parameters |
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| Luo Xiang-Yi,Liu Xue-Shen and Ding Pei-Zhu.Dynamic properties and drifting of the solution pattern of cubic nonlinear Schr?dinger equation with varying nonlinear parameters[J].Acta Physica Sinica,2007,56(2):604-610. |
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| Authors: | Luo Xiang-Yi Liu Xue-Shen and Ding Pei-Zhu |
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| Institution: | Institute of Atomic and Molecular Physics, Jilin University, Chaagchun, Jilin 130012, China |
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| Abstract: | The dynamic properties of one-dimensional cubic nonlinear Schr?dinger equation and drifting of the solution pattern are investigated numerically by using the symplectic method with different nonlinear parameters in the perturbation initial condition. The numerical simulation illustrates that the system shows different dynamic behaviors with varying nonlinear parameters, but the motion in the phase space is regularly recurrent. The results show that the drifting velocity for the small nonlinear parameter is small. With the nonlinear parameter increasing, drifting velocity of the solution pattern becomes faster at the same time of evolution.
Keywords：
dynamic properties
phase space
drifting of the solution pattern
symplectic method |
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| Keywords: | dynamic properties phase space drifting of the solution pattern symplectic method |
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