| 作战微分方程模型的Noether对称性 |
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| 引用本文： | 葛伟宽,梅凤翔.作战微分方程模型的Noether对称性[J].兵工学报,2001,22(2):241-243. |
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| 作者姓名： | 葛伟宽 梅凤翔 |
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| 作者单位： | 湖州师范学院物理系,浙江湖州,313000,北京理工大学应用力学系 |
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| 基金项目： | 国家自然科学基金;19972010; |
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| 摘 要： | 将一般微分方程组部分正则化,利用Hamilton作用量在无限小变换下的不变性找到系统的守恒量.利用一般理论研究几种作战微分方程模型的Noether对称性与守恒量.
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| 关 键 词： | 微分方程模型 Noether对称性 守恒量 |
| 修稿时间： | 2000年6月1日 |
NOETHER SYMMETRY OF DIFFERENTIAL EQUATION MODELS IN WARFARE |
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| Ge Weikuan.NOETHER SYMMETRY OF DIFFERENTIAL EQUATION MODELS IN WARFARE[J].Acta Armamentarii,2001,22(2):241-243. |
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| Authors: | Ge Weikuan |
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| Abstract: | A system of ordinary differential equations is expressed partially by the form of canonical equations The conserved quantities are obtained by the invariance of Hamiltonian action under the infinitesimal transformations The Noether symmetries and conserved quantities of some differential equation models in warfare are studied by the general theory |
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| Keywords: | differential equation model Noether symmetry conserved quantity |
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