| 亮孤子微扰论的一种直接方法 |
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| 引用本文： | 颜家壬,敖胜美,俞慧友. 亮孤子微扰论的一种直接方法[J]. 中国物理, 2005, 14(1): 28-32 |
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| 作者姓名： | 颜家壬 敖胜美 俞慧友 |
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| 作者单位： | Department of Physics, Hunan Normal University, Changsha,410081, China;Department of Physics, Hunan Normal University, Changsha,410081, China;Department of Physics, Hunan Normal University, Changsha,410081, China |
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| 基金项目： | Project supported by National Natural Science Foundation of China (Grant No 10375022). |
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| 摘 要： | 发展了一种基于分离变量法的非线性Schordinger方程的微扰论直接法。导出了微扰对亮孤子的一阶效应,即导出了孤子参数随时间的缓慢变化及微扰对孤子的一阶修正
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| 关 键 词： | 摄动 非线性施荣丁格尔方程 偏微分 光滑孤波 直接路径 |
| 收稿时间： | 2004-05-20 |
Direct approach to perturbation theory for bright solitons |
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| Yan Jia-Ren,Ao Sheng-Mei and Yu Hui-You. Direct approach to perturbation theory for bright solitons[J]. Chinese Physics, 2005, 14(1): 28-32 |
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| Authors: | Yan Jia-Ren Ao Sheng-Mei Yu Hui-You |
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| Affiliation: | Department of Physics, Hunan Normal University, Changsha,410081, China |
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| Abstract: | A direct approach to perturbation theory for the nonlinear Schr"{o}dinger equation is developed based on the separation of variables. The first-order effects of perturbation on a bright soliton, i.e. the slow time dependence of soliton parameters and the first-order correction are derived. |
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| Keywords: | bright soliton, nonlinear Schr" {o}dinger equation, soliton perturbation |
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