| PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD |
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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： | College of Physics and Electronic Engineering Northwest Normal University Lanzhou 730070 P. R. China，College of Physics and Electronic Engineering Northwest Normal University Lanzhou 730070 P. R. China，College of Physics and Electronic Engineering Northwest Normal University Lanzhou 730070 P. R. China，College of Physics and Electronic Engineering Northwest Normal University Lanzhou 730070 P. R. China，College of Physics and Electronic Engineering Northwest Normal University Lanzhou 730070 P. R. China |
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| 基金项目： | 国家自然科学基金;西北师范大学校科研和教改项目 |
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| 摘 要： | The longitudinal oscillation of a nonlinear elastic rod with lateral inertia was studied. Based on the far field and simple wave theory, a nonlinear Schrodinger (NLS) equation was established under the assumption of small amplitude and long wavelength. It is found that there are NLS envelop solitons in this system. Finally the soliton solution of the NLS equation was presented.
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| 关 键 词： | 非线性弹性棒 远声场 NLS方程 纵向振荡 |
| 文章编号： | 10.1007/s10483-006-0910-z |
| 收稿时间： | 2005-12-19 |
| 修稿时间： | 2006-03-28 |
Perturbation analysis for wave equation of nonlinear elastic rod |
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| Ke-pu Lü,Peng Guo,Lei Zhang,Jin-qiao Yi,Wen-shan Duan.PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD[J].Applied Mathematics and Mechanics(English Edition),2006,27(9):1233-1238. |
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| Authors: | Ke-pu Lü Peng Guo Lei Zhang Jin-qiao Yi Wen-shan Duan |
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| Institution: | 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 was studied. Based on the far field and simple wave theory, a nonlinear Schrodinger (NLS) equation was established under the assumption of small amplitude and long wavelength. It is found that there are NLS envelop solitons in this system. Finally the soliton solution of the NLS equation was presented. |
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| Keywords: | nonlinear elastic rod far field NLS equation |
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