Lie Symmetries and Conserved Quantities of Holonomic Variable Mass Systems

Mei Fengxiang

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(6): 592-596

Mei Fengxiang. Lie Symmetries and Conserved Quantities of Holonomic Variable Mass Systems[J]. Applied Mathematics and Mechanics, 1999, 20(6): 592-596.

Citation:

Mei Fengxiang. Lie Symmetries and Conserved Quantities of Holonomic Variable Mass Systems[J]. Applied Mathematics and Mechanics, 1999, 20(6): 592-596.

Citation:

Mei Fengxiang. Lie Symmetries and Conserved Quantities of Holonomic Variable Mass Systems[J]. Applied Mathematics and Mechanics, 1999, 20(6): 592-596.

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Lie Symmetries and Conserved Quantities of Holonomic Variable Mass Systems

Mei Fengxiang

Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P R China

Received Date: 1997-09-05
Rev Recd Date: 1998-11-08
Publish Date: 1999-06-15

Abstract

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 of the Lie symmetries of the systems are established, and the structure equation and the conserved quantities are given. And an example is given to illustrate the application of the result.
- analytical mechanics,
- variable mass,
- Lie symmetry,
- conserved quantity

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References(7)

References

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