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

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Article number	002
Pages (from-to)	1662-1664
Number of pages	3
Journal	Chinese Physics
Volume	15
Issue number	8
DOIs	https://doi.org/10.1088/1009-1963/15/8/002
Publication status	Published - 1 Aug 2006

Keywords

Differential equation
Hamilton-Jacobi method
Integration

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10.1088/1009-1963/15/8/002

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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.

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KW - Hamilton-Jacobi method

KW - Integration

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Hamilton-Jacobi method for solving ordinary differential equations

Abstract

Keywords

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