Hojman method for solving differential equations

Hui Bin Wu; Yong Fa Zhang; Feng Xiang Mei

doi:10.7498/aps.55.4987

Hojman method for solving differential equations

Hui Bin Wu^*, Yong Fa Zhang, Feng Xiang Mei

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

First, the method presented by Hojman for finding the conserved quantity of the system of second order differential equations is generalized and applied to the system of first order differential equations, particularly to the odd-dimensional system for finding the integral in this paper. Next, it is proved that the Hojman theorem is a special case of the theorem given in this paper. Finally, an example is given to illustrate the application of the result.

源语言	英语
页（从-至）	4987-4990
页数	4
期刊	Wuli Xuebao/Acta Physica Sinica
卷	55
期	10
DOI	https://doi.org/10.7498/aps.55.4987
出版状态	已出版 - 10月 2006

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Wu, H. B., Zhang, Y. F., & Mei, F. X. (2006). Hojman method for solving differential equations. Wuli Xuebao/Acta Physica Sinica, 55(10), 4987-4990. https://doi.org/10.7498/aps.55.4987

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abstract = "First, the method presented by Hojman for finding the conserved quantity of the system of second order differential equations is generalized and applied to the system of first order differential equations, particularly to the odd-dimensional system for finding the integral in this paper. Next, it is proved that the Hojman theorem is a special case of the theorem given in this paper. Finally, an example is given to illustrate the application of the result.",

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author = "Wu, {Hui Bin} and Zhang, {Yong Fa} and Mei, {Feng Xiang}",

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AU - Zhang, Yong Fa

AU - Mei, Feng Xiang

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AB - First, the method presented by Hojman for finding the conserved quantity of the system of second order differential equations is generalized and applied to the system of first order differential equations, particularly to the odd-dimensional system for finding the integral in this paper. Next, it is proved that the Hojman theorem is a special case of the theorem given in this paper. Finally, an example is given to illustrate the application of the result.

KW - Conserved quantity

KW - Differential equation

KW - Hojman theorem

KW - Integral

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Hojman method for solving differential equations

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