| Noether＇s and Poisson＇s methods for solving differential equation xs^（m） = Fs（t,xk^（m-2） , xk（m-1） |
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| 引用本文： | 何光,梅凤翔.Noether＇s and Poisson＇s methods for solving differential equation xs^（m） = Fs（t,xk^（m-2） , xk（m-1）[J].中国物理 B,2008,17(3):822-824. |
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| 作者姓名： | 何光 梅凤翔 |
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| 作者单位： | [1]School of Aerospace Science and Engineering, Beijing Institute of Technology, Beijing 100081, China [2]School of Science, Beijing Institute of Technology, Beijing 100081, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant No 10572021） and Doctoral Programme Foundation of Institution of Higher Education of China （Grant No 20040007022）. |
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| 摘 要： | This paper studies integration of a higher-order differential equation which can be reduced to a second-order ordinary differential equation. The solution of the second-order equation can be obtained by the Noether method and the Poisson method. Then the solution of the higher-order equation can be obtained by integrating the solution of the second-order equation.
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| 关 键 词： | 高级次微分方程 积分方法 物理数学 解题方法 |
| 收稿时间： | 2007-08-10 |
Noether's and Poisson's methods for solving differential equation xs(m)= Fs（t,xk(m-2),xk(m-1) |
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| He Guang and Mei
Feng-Xiang.Noether's and Poisson's methods for solving differential equation xs(m)= Fs（t,xk(m-2),xk(m-1)[J].Chinese Physics B,2008,17(3):822-824. |
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| Authors: | He Guang and Mei
Feng-Xiang |
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| Institution: | School of Aerospace Science and Engineering,
Beijing Institute of
Technology, Beijing 100081, China; School of Science, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | This paper studies integration of a higher-order differential equation which can be reduced to a second-order ordinary differential equation. The solution of the second-order equation can be obtained by the Noether method and the Poisson method. Then the solution of the higher-order equation can be obtained by integrating the solution of the second-order equation. |
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| Keywords: | Noether's method Poisson's
method higher order ordinary differential equation integration |
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