Noether’s and Poisson’s methods for solving differential equation x(m)s = Fs(t,x(m-2)k,x(m-1)k)

来源 :中国物理B（英文版） | 被引量 : 0次 | 上传用户：chenzhe1987827

【摘要】

：

This paper studies integration of a higher-order differential equation which can be reduced to a second-orderordinary differential equation. The solution of the

【作者】

：

He Guang Mei Feng-Xiang

【机构】

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School of Aerospace Science and Engineering, Beijing Institute of Technology, Beijing 100081, China;

【出处】

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中国物理B（英文版）

【发表日期】

：

2008年3期

【关键词】

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Noethers method Poissons method higher order ordinary differential equation inte

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This paper studies integration of a higher-order differential equation which can be reduced to a second-orderordinary 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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Noether’s and Poisson’s methods for solving differential equation x(m)s = Fs(t,x(m-2)k,x(m-1)k)

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