| 变质量完整力学系统的Lie对称与守恒量 |
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| 引用本文： | 梅凤翔.变质量完整力学系统的Lie对称与守恒量[J].应用数学和力学,1999,20(6):592-596. |
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| 作者姓名： | 梅凤翔 |
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| 作者单位： | 北京理工大学,应用力学系,北京,100081 |
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| 摘 要： | 研究变质量完整系统的Ｌｉｅ对称和守恒量·利用常微分方程在无限小变换下的不变性建立系统Ｌｉｅ对称的确定方程·给出结构方程和守恒量·举例说明结果的应用
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| 关 键 词： | 分析力学 变质量 Lie对称 守恒量 |
Lie Symmetries and Conserved Quantities of Holonomic Variable Mass Systems |
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| Mei Fengxiang.Lie Symmetries and Conserved Quantities of Holonomic Variable Mass Systems[J].Applied Mathematics and Mechanics,1999,20(6):592-596. |
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| Authors: | Mei Fengxiang |
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| Abstract: | In this paper, the Lie symmetries and the conserved quantities of the holonomic variable mass systems are studied. By using the invariance of the ordinary differential equations under the infinitesimal transformations, the determining equations of the Lie symmetries of the systems are established, and the structure equation and the conserved quantities are given. And an example is given to illustrate the application of the result. |
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| Keywords: | analytical mechanics variable mass Lie symmetry conserved quantity |
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