Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass

2010 ◽  
Vol 19 (3) ◽  
pp. 030305 ◽  
Author(s):  
Yang Xin-Fang ◽  
Jia Li-Qun ◽  
Cui Jin-Chao ◽  
Luo Shao-Kai
Keyword(s):  
Variable Mass ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Mei Symmetry

Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system

2010 ◽  
Vol 19 (3) ◽  
pp. 030304 ◽  
Author(s):  
Cui Jin-Chao ◽  
Zhang Yao-Yu ◽  
Yang Xin-Fang ◽  
Jia Li-Qun
Keyword(s):  
Variable Mass ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Appell Equations ◽  
Mei Symmetry

Conformal Invariance and Conserved Quantity of Mei Symmetry for Appell Equations in a Holonomic System with Mass Variable

2014 ◽  
Vol 670-671 ◽  
pp. 617-625
Author(s):  
Yao Yu Zhang ◽  
Xian Ting Sun ◽  
Xi Chang Xue ◽  
Li Qun Jia
Keyword(s):  
Conformal Invariance ◽  
Infinitesimal Generator ◽  
Transformation Group ◽  
Equations Of Motion ◽  
Variable Mass ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Parameter Transformation ◽  
Appell Equations ◽  
Mei Symmetry

For a holonomic system with variable mass, the conformal invariance and the conserved quantity of Mei symmetry of Appell equations are investigated. First, by the infinitesimal one-parameter transformation group and the infinitesimal generator vector, the Mei symmetry and the conformal invariance of differential equations of motion for Appell equations in a holonomic system with variable mass are defined, and the determining equation of Mei symmetry and conformal invariance for Appell equations in a holonomic system with variable mass are given. Then, the Mei-conserved quantity corresponding to the system is derived by means of the structure equation to which the gauge function satisfies. Finally, an example is given to illustrate the application of the result.

Inverse Problems of Mei Symmetry for Nonholonomic Systems with Variable Mass

2015 ◽  
Vol 31 (5) ◽  
pp. 515-523 ◽  
Author(s):  
W.-L. Huang ◽  
J.-L. Cai
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Nonholonomic System ◽  
Research Result ◽  
Variable Mass ◽  
Nonholonomic Systems ◽  
Noether Symmetry ◽  
Additional Restriction ◽  
Holonomic System ◽  
Mei Symmetry

AbstractThe inverse problem of the Mei symmetry for nonholonomic systems with variable mass is studied. Firstly, the authors discuss the Mei symmetry of the holonomic system opposite to a nonholonomic system. Secondly, weak and strong Mei symmetries of a nonholonomic system are concluded through restriction equations and additional restriction equations. Thirdly, the relevant conserved quantity is deduced by means of the structure equation for the gauge function. Fourthly, the inverse problem of the Mei symmetry is obtained by the Noether symmetry. Finally, the paper offers an example to illustrate the application of the research result.

scholarly journals A type of new conserved quantity of Mei symmetry for Appell equations in a holonomic system

2012 ◽  
Vol 61 (20) ◽  
pp. 200204
Author(s):  
Sun Xian-Ting ◽  
Han Yue-Lin ◽  
Wang Xiao-Xiao ◽  
Zhang Mei-Ling ◽  
Jia Li-Qun
Keyword(s):  
Conserved Quantity ◽  
Holonomic System ◽  
Appell Equations ◽  
Mei Symmetry

scholarly journals Conformal invariance and conserved quantity of Mei symmetry for Appell equations in holonomic system

2013 ◽  
Vol 62 (16) ◽  
pp. 160201
Author(s):  
Han Yue-Lin ◽  
Sun Xian-Ting ◽  
Zhang Yao-Yu ◽  
Jia Li-Qun
Keyword(s):  
Conformal Invariance ◽  
Conserved Quantity ◽  
Holonomic System ◽  
Appell Equations ◽  
Mei Symmetry
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