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.
Revised: 31 December 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10272021, 10572021) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 0040007022).
Cite this article:
Mei Feng-Xiang(梅凤翔), Wu Hui-Bin(吴惠彬), and Zhang Yong-Fa(张永发) Hamilton--Jacobi method for solving ordinary differential equations 2006 Chinese Physics 15 1662
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