A new type of conserved quantity of Lie symmetry for the Lagrange system |
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Authors: | Fang Jian-Hui |
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Institution: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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Abstract: | This paper studies a new type of conserved quantity which
is directly induced by Lie symmetry of the Lagrange system. Firstly, the
criterion of Lie symmetry for the Lagrange system is given. Secondly,
the conditions of existence of the new conserved quantity as well as
its forms are proposed. Lastly, an example is given to illustrate
the application of the result. |
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Keywords: | Lagrange system Lie symmetry new conserved quantity |
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