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A type of new conserved quantity deduced from Mei symmetry for Appell equations in a holonomic system with unilateral constraints |
Jia Li-Qun(贾利群)a)†, Xie Yin-Li(解银丽)a), Zhang Yao-Yu(张耀宇)b), and Yang Xin-Fang(杨新芳)a) |
a School of Science, Jiangnan University, Wuxi 214122, China; b Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China |
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Abstract A type of new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints is investigated. The expressions of new structural equation and new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results.
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Received: 08 April 2010
Revised: 04 May 2010
Accepted manuscript online:
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PACS:
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02.30.Jr
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(Partial differential equations)
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02.30.Sa
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(Functional analysis)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10572021) and the Preparatory Research Foundation of Jiangnan University of China (Grant No. 2008LYY011). |
Cite this article:
Jia Li-Qun(贾利群), Xie Yin-Li(解银丽), Zhang Yao-Yu(张耀宇), and Yang Xin-Fang(杨新芳) A type of new conserved quantity deduced from Mei symmetry for Appell equations in a holonomic system with unilateral constraints 2010 Chin. Phys. B 19 110301
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[1] |
Noether A E 1918 Nachr. Akad. Wiss. Göttingen Math. Phys. KI, II 235
|
[2] |
Mei F X 2000 J. Beijing Inst. Technol. 9 120
|
[3] |
Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese)
|
[4] |
Luo S K and Zhang Y F 2008 Advances in the Study of Dynamics of Constrained Systems (Beijing: Science Press) (in Chinese)
|
[5] |
Ding N and Fang J H 2008 Chin. Phys. B 17 1550
|
[6] |
Jia L Q, Xie J F and Luo S K 2008 Chin. Phys. B 17 1560
|
[7] |
Zhang M J, Fang J H, Zhang X N and Lu K 2008 Chin. Phys. B 17 1957
|
[8] |
Fang J H, Liu Y K and Zhang X N 2008 Chin. Phys. B 17 1962
|
[9] |
Huang X H, Zhang X B and Shi S Y 2008 Acta Phys. Sin. 57 6056 (in Chinese)
|
[10] |
Ge W K 2008 Acta Phys. Sin. 57 6714 (in Chinese)
|
[11] |
Cai J L 2009 Acta Phys. Sin. 58 22(in Chinese)
|
[12] |
Wang P, Fang J H and Wang X M 2009 Chin. Phys. B 18 1312
|
[13] |
Cui J C, Zhang Y Y and Jia L Q 2009 Chin. Phys. B 18 1731
|
[14] |
Cui J C, Jia L Q and Yang X F 2009 J. Henan Normal University (Natural Science) 37 70 (in Chinese)
|
[15] |
Mei F X 2001 Chin. Phys. 10 177
|
[16] |
Li R J, QiaoY F and Meng J 2002 Acta Phys. Sin. 51 1 (in Chinese)
|
[17] |
Luo S K 2002 Acta Phys. Sin. 51 712 (in Chinese)
|
[18] |
Zhang Y 2004 Acta Phys. Sin. 53 331 (in Chinese)
|
[19] |
Zhang Y 2005 Acta Phys. Sin. 54 4488 (in Chinese)
|
[20] |
Zhang Y 2006 Acta Phys. Sin. 55 504 (in Chinese)
|
[21] |
Li H and Fang J H 2004 Acta Phys. Sin. 53 2807 (in Chinese)
|
[22] |
Jing H X, Li Y C and Xia L L 2007 Acta Phys. Sin. 56 3043 (in Chinese)
|
[23] |
Jia L Q, Zhang Y Y, Cui J C and Luo S K 2009 Commun. Theor. Phys. 52 572 endfootnotesize
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