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Lie symmetries and conserved quantities of holonomic variable mass systems

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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.

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Communicated by Huang Yongnian

Foundation item: the National Natural Science Foundation of China (19572038)

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Fengxiang, M. Lie symmetries and conserved quantities of holonomic variable mass systems. Appl Math Mech 20, 629–634 (1999). https://doi.org/10.1007/BF02464935

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  • DOI: https://doi.org/10.1007/BF02464935

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