| 运动微分方程正则化及其可积情况 |
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| 引用本文： | 滕天启. 运动微分方程正则化及其可积情况[J]. 鲁东大学学报, 1988, 0(2) |
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| 作者姓名： | 滕天启 |
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| 作者单位： | 烟台师范学院物理系 |
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| 摘 要： | 本文将可化为正则形的运动微分方程与正则方程相对照,讨论了如果正则方程的Hamilton-Jacobi方程可通过分离变量法或根据其Hamilton函数的类型求出其全积分,则原运动微分方程可积.
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| 关 键 词： | 正则化 变量分离 可积性 |
The Regularization and Integrability of the Differential Equation of Motion |
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| Teng Tianqi. The Regularization and Integrability of the Differential Equation of Motion[J]. Ludong University Journal (Natural Science Edition), 1988, 0(2) |
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| Authors: | Teng Tianqi |
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| Affiliation: | physics department |
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| Abstract: | In this paper, the regularizable differential equation of motion is compared with the regular equation. It is discussed that if the total integration of the Hamilton-Jacobi equation of the regular equation can be obtained with the method of separating variables or according to the type of its Hamiltonian function, the original differential equation of motion is integrable. |
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| Keywords: | ragularization separating variables integrability. |
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