Lie symmetries and conserved quantities of holonomic variable mass systems |
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Authors: | Mei Fengxiang |
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Institution: | Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. R. China |
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Abstract: | In this paper, the Lie symmetries and the conserved quantities of the holonomic variable mass systems are studied. By using
the invariance of the ordinary differential equations under the infinitesimal transformations, the determining equations and
the conserved quantities are given. And an example is given to illustrate the application of the result.
Foundation item: the National Natural Science Foundation of China (19572038) |
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Keywords: | analytical mechanics variable mass Lie symmetry conserved quantity |
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