Hamilton-Jacobi method for solving ordinary differential equations

Feng Xiang Mei; Hui Bin Wu; Yong Fa Zhang

doi:10.1088/1009-1963/15/8/002

Hamilton-Jacobi method for solving ordinary differential equations

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

^*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

8 引用（Scopus）

摘要

The Hamilton-Jacobi method for solving ordinary differential equations is presented in this paper. A system of ordinary differential equations of first order or second order can be expressed as a Hamilton system under certain conditions. Then the Hamilton-Jacobi method is used in the integration of the Hamilton system and the solution of the original ordinary differential equations can be found. Finally, an example is given to illustrate the application of the result.

源语言	英语
文章编号	002
页（从-至）	1662-1664
页数	3
期刊	Chinese Physics
卷	15
期	8
DOI	https://doi.org/10.1088/1009-1963/15/8/002
出版状态	已出版 - 1 8月 2006

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Mei, F. X., Wu, H. B., & Zhang, Y. F. (2006). Hamilton-Jacobi method for solving ordinary differential equations. Chinese Physics, 15(8), 1662-1664. 文章 002. https://doi.org/10.1088/1009-1963/15/8/002

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AU - Mei, Feng Xiang

AU - Wu, Hui Bin

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N2 - The Hamilton-Jacobi method for solving ordinary differential equations is presented in this paper. A system of ordinary differential equations of first order or second order can be expressed as a Hamilton system under certain conditions. Then the Hamilton-Jacobi method is used in the integration of the Hamilton system and the solution of the original ordinary differential equations can be found. Finally, an example is given to illustrate the application of the result.

AB - The Hamilton-Jacobi method for solving ordinary differential equations is presented in this paper. A system of ordinary differential equations of first order or second order can be expressed as a Hamilton system under certain conditions. Then the Hamilton-Jacobi method is used in the integration of the Hamilton system and the solution of the original ordinary differential equations can be found. Finally, an example is given to illustrate the application of the result.

KW - Differential equation

KW - Hamilton-Jacobi method

KW - Integration

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Hamilton-Jacobi method for solving ordinary differential equations

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