| 非线性弹性杆波动方程的摄动分析 |
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| 引用本文： | 吕克璞,郭鹏,张磊,易金桥,段文山. 非线性弹性杆波动方程的摄动分析[J]. 应用数学和力学, 2006, 27(9): 1079-1083 |
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| 作者姓名： | 吕克璞 郭鹏 张磊 易金桥 段文山 |
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| 作者单位： | 西北师范大学 物理与电子工程学院,兰州 730070 |
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| 摘 要： | 针对计入横向惯性效应后的非线性弹性杆纵向波动方程进行了分析．在小振幅、长波长的一般情况下，根据远方场简单波理论，采用约化摄动法，得到了NLS方程，并讨论了存在NLS孤子的条件．
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| 关 键 词： | 非线性弹性杆 远方场 NLS方程 |
| 文章编号： | 1000-0887（2006）09-1079-05 |
| 收稿时间： | 2005-12-19 |
| 修稿时间： | 2006-03-28 |
Perturbation Analysis for Wave Equation of A Nonlinear Elastic Rod |
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| L Ke-pu,GUO Peng,ZHANG Lei,YI Jin-qiao,DUAN Wen-shan. Perturbation Analysis for Wave Equation of A Nonlinear Elastic Rod[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1079-1083 |
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| Authors: | L Ke-pu GUO Peng ZHANG Lei YI Jin-qiao DUAN Wen-shan |
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| Affiliation: | College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, P. R. China |
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| Abstract: | The longitudinal oscillation of a nonlinear elastic rod with lateral inertia were studied. Based on the far field and simple wave theory, a nonlinear SchrL dinger (NLS) equation was established under the assumption of small amplitude and long wavelength. It is found that there are NLS envelope solitons in this system. Finally the soliton solution of the NLS equation is presented. |
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| Keywords: | nonlinear elastic rod far field NLS equation |
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