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Abstract

Mei symmetry and Mei conserved quantity of Appell equation for a nonholonomic system of Chetaevs type with variable mass are studied. The Appell equation and differential equation of motion of the system are set up. The expression of the total derivative of the function along the trajectory of the system with respect to t, the definition and criterion of Mei symmetry of Appell equation for a nonholonomic system of Chetaevs type with variable mass under the infinitesimal transformation of group are given. The structural equation of Mei symmetry and the expression of Mei conserved quantity expressed by Appell equation are obtained. An example is given to illustrate the application of the results.

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[2]	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
[3]	Sun Xian-Ting, Zhang Yao-Yu, Zhang Fang, Jia Li-Qun.Conformal invariance and Hojman conserved quantity of Lie symmetry for Appell equations in a holonomic system. Acta Physica Sinica, 2014, 63(14): 140201.doi:10.7498/aps.63.140201
[4]	Jia Li-Qun, Sun Xian-Ting, Zhang Mei-Ling, Zhang Yao-Yu, Han Yue-Lin.Generalized Hojman conserved quantity deduced from generalized Lie symmetry of Appell equations for a variable mass mechanical system in relative motion. Acta Physica Sinica, 2014, 63(1): 010201.doi:10.7498/aps.63.010201
[5]	Zhang Fang, Li Wei, Zhang Yao-Yu, Xue Xi-Chang, Jia Li-Qun.Conformal invariance and conserved quantity of Mei symmetry for Appell equations in nonholonomic systems of Chetaev’s type with variable mass. Acta Physica Sinica, 2014, 63(16): 164501.doi:10.7498/aps.63.164501
[6]	Han Yue-Lin, Sun Xian-Ting, Zhang Yao-Yu, Jia Li-Qun.Conformal invariance and conserved quantity of Mei symmetry for Appell equations in holonomic system. Acta Physica Sinica, 2013, 62(16): 160201.doi:10.7498/aps.62.160201
[7]	Wang Xiao-Xiao, Zhang Mei-Ling, Han Yue-Lin, Jia Li-Qun.Mei symmetry and Mei conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type. Acta Physica Sinica, 2012, 61(20): 200203.doi:10.7498/aps.61.200203
[8]	Sun Xian-Ting, Han Yue-Lin, Wang Xiao-Xiao, Zhang Mei-Ling, Jia Li-Qun.A type of new conserved quantity of Mei symmetry for Appell equations in a holonomic system. Acta Physica Sinica, 2012, 61(20): 200204.doi:10.7498/aps.61.200204
[9]	Zhang Bin, Fang Jian-Hui, Zhang Ke-Jun.Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system. Acta Physica Sinica, 2012, 61(2): 021101.doi:10.7498/aps.61.021101
[10]	Luo Shao-Kai, Jia Li-Qun, Xie Yin-Li.Mei conserved quantity deduced from Mei symmetry of Appell equation in a dynamical system of relative motion. Acta Physica Sinica, 2011, 60(4): 040201.doi:10.7498/aps.60.040201
[11]	Li Yuan-Cheng, Xia Li-Li, Wang Xiao-Ming, Liu Xiao-Wei.Lie-Mei symmetry and conserved quantities of Appell equation for a holonomic mechanical system. Acta Physica Sinica, 2010, 59(6): 3639-3642.doi:10.7498/aps.59.3639
[12]	Jia Li-Qun, Cui Jin-Chao, Luo Shao-Kai, Zhang Yao-Yu.Mei symmetry and Mei conserved quantity of Nielsen equations for nonholonomic systems of unilateral non-Chetaev’s type in the event space. Acta Physica Sinica, 2009, 58(4): 2141-2146.doi:10.7498/aps.58.2141
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[16]	Jia Li-Qun, Luo Shao-Kai, Zhang Yao-Yu.Mei conserved quantities for systems with unilateral non-Chetaev nonholonomic constraints in the event space. Acta Physica Sinica, 2007, 56(11): 6188-6193.doi:10.7498/aps.56.6188
[17]	Jia Li-Qun, Zheng Shi-Wang, Zhang Yao-Yu.Mei symmetry and Mei conserved quantity of nonholonomic systems of non-Chetaev’s type in event space. Acta Physica Sinica, 2007, 56(10): 5575-5579.doi:10.7498/aps.56.5575
[18]	Zhang Yi.Non-Noether conserved quantities for systems with unilateral non-Chetaev nonholonomic constraints. Acta Physica Sinica, 2006, 55(2): 504-510.doi:10.7498/aps.55.504
[19]	Li Hong, Fang Jian-Hui.Mei symmetry of variable mass systems with unilateral holonomic constraints. Acta Physica Sinica, 2004, 53(9): 2807-2810.doi:10.7498/aps.53.2807
[20]	QIAO YONG-FEN, ZHAO SHU-HONG.EQUATIONS OF MOTION OF VARIABLE MASS NONHOLONOMIC DYNAMICAL SYSTEMS IN POINCARé-CHETAEV VARIABLES. Acta Physica Sinica, 2001, 50(5): 805-810.doi:10.7498/aps.50.805

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Vol. 60, Issue 11 - 2011-06-05

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