Mei symmetry of variable mass systems with unilateral holonomic constraints

Li Hong; Fang Jian-Hui

doi:10.7498/aps.53.2807

Abstract
In this paper,the Mei symmetry of variable mass systems with unilatera l holonomic constraints is studied. The definition and criterion of the Mei symm etry of variable mass systems with unilateral holonomic constraints are given. T he structure equation and conserved quantity of the Mei symmetry are obtained. A n example is given to illustrate the application of the result.

Keywords:
variable mass /

unilateral holonomic co nstraints /

Mei symmetry /

conserved quantity
Authors and contacts
Li Hong,

Fang Jian-Hui

1.
石油大学应用物理系，东营 257061
References

Cited By

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[3]	Wang Fei-Fei, Fang Jian-Hui, Wang Ying-Li, Xu Rui-Li. Noether symmetry and Mei symmetry of a discrete holonomic mechanical system with variable mass. Acta Physica Sinica, 2014, 63(17): 170202. doi: 10.7498/aps.63.170202
[4]	Wang Ting-Zhi, Sun Xian-Ting, Han Yue-Lin. Conformal invariance and conserved quantity for a variable mass holonomic system in relative motion. Acta Physica Sinica, 2013, 62(23): 231101. doi: 10.7498/aps.62.231101
[5]	Zheng Shi-Wang, Wang Jian-Bo, Chen Xiang-Wei, Li Yan-Min, Xie Jia-Fang. Lie symmetry and their conserved quantities of Tznoff equations for the vairable mass nonholonomic systems. Acta Physica Sinica, 2012, 61(11): 111101. doi: 10.7498/aps.61.111101
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[7]	Yang Xin-Fang, Sun Xian-Ting, Wang Xiao-Xiao, Zhang Mei-Ling, Jia Li-Qun. Mei symmetry and Mei conserved quantity of Appell equations for nonholonomic systems of Chetaevs type with variable mass. Acta Physica Sinica, 2011, 60(11): 111101. doi: 10.7498/aps.60.111101
[8]	Liu Yang-Kui. A kind of conserved quantity of Mei symmetry for general holonomic mechanical systems. Acta Physica Sinica, 2010, 59(1): 7-10. doi: 10.7498/aps.59.7
[9]	Zheng Shi-Wang, Xie Jia-Fang, Chen Xiang-Wei, Du Xue-Lian. Another kind of conserved quantity induced directly from Mei symmetry of Tzénoff equations for holonomic systems. Acta Physica Sinica, 2010, 59(8): 5209-5212. doi: 10.7498/aps.59.5209
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[11]	Cai Jian-Le. Conformal invariance and conserved quantities of Mei symmetry for general holonomic systems. Acta Physica Sinica, 2009, 58(1): 22-27. doi: 10.7498/aps.58.22
[12]	Jia Li-Qun, Luo Shao-Kai, Zhang Yao-Yu. Mei symmetry and Mei conserved quantity of Nielsen equation for a nonholonomic system. Acta Physica Sinica, 2008, 57(4): 2006-2010. doi: 10.7498/aps.57.2006
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[16]	Jing Hong-Xing, Li Yuan-Cheng, Xia Li-Li. Perturbation of Lie symmetries and a type of generalized Hojman adiabatic invariants for variable mass systems with unilateral holonomic constraints. Acta Physica Sinica, 2007, 56(6): 3043-3049. doi: 10.7498/aps.56.3043
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[20]	FANG JIAN-HUI, ZHAO SONG-QING. LIE SYMMETRIES AND CONSERED QUANTITIES OF RELATIVISTIC ROTATIONAL VARIABLE MASS SYSTEM. Acta Physica Sinica, 2001, 50(3): 390-393. doi: 10.7498/aps.50.390

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Vol. 53, Issue 9 - 2004-05-05

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Mei symmetry of variable mass systems with unilateral holonomic constraints

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