| 微分方程借助辅助变量的Hamilton化与求解 |
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| 引用本文： | 梅凤翔.微分方程借助辅助变量的Hamilton化与求解[J].商丘师范学院学报,2007,23(3):1-4. |
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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,力学系,北京,100081 |
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| 摘 要： | 用引进辅助变量的方法建立一阶微分方程组的扩充系统．这个扩充系统可表为Hamilton形式，而其积分可用分析力学的方法来得到．举例说明结果的应用．
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| 关 键 词： | 微分方程 Hamilton化 积分 分析力学 辅助变量 |
| 文章编号： | 1672-3600(2007)03-0001-04 |
| 修稿时间： | 2006年10月30 |
Hamiltonization and solution of differential equations by introducing supplementary variables |
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| MEI Feng-xiang.Hamiltonization and solution of differential equations by introducing supplementary variables[J].Journal of Shangqiu Teachers College,2007,23(3):1-4. |
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| Authors: | MEI Feng-xiang |
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| Abstract: | An extended system of a system of first-order differential equations is established by introducing some supplementary variables in this paper.The extended system can be written in the Hamilton from and its integrals can be obtained by analytical mechanics method.An example is given to illustrate the application of the result. |
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| Keywords: | differential equation Hamiltonzation integral analytical mechanics supplementary variable |
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