Lie symmetry and conserved quantity of a system of first-order differential equations |
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| Authors: | Xu Xue-Jun Mei Feng-Xiang Zhang Yong-Fa |
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| Affiliation: | Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; Department of Physics, Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | This paper focuses on studying the Lie symmetry and a conserved quantity ofa system of first-order differential equations. The determining equations ofthe Lie symmetry for a system of first-order differential equations, fromwhich a kind of conserved quantity is deduced, are presented. And theirgeneral conclusion is applied to a Hamilton system, a Birkhoff system and ageneralized Hamilton system. Two examples are given to illustratethe application of the results. |
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| Keywords: | Lie symmetry conserved quantity differential equation mechanical system |
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