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Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system |
Cui Jin-Chao(崔金超)a), Zhang Yao-Yu(张耀宇) b), Yang Xin-Fang(杨新芳)a), and Jia Li-Qun(贾利群)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 Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system are investigated. Appell equations and differential equations of motion for a variable mass holonomic system are established. A new expression of the total first derivative of the function with respect of time t along the systematic motional track curve, and the definition and the criterion of Mei symmetry for Appell equations under the infinitesimal transformations of groups are given. The expressions of the structural equation and Mei conserved quantity for Mei symmetry in Appell are obtained. An example is given to illustrate the application of the results.
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Received: 31 May 2009
Revised: 31 July 2009
Accepted manuscript online:
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PACS:
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45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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02.30.Jr
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(Partial differential equations)
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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, China (Grant
No.~2008LYY011). |
Cite this article:
Cui Jin-Chao(崔金超), Zhang Yao-Yu(张耀宇), Yang Xin-Fang(杨新芳), and Jia Li-Qun(贾利群) Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system 2010 Chin. Phys. B 19 030304
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[1] |
Mei F X 1991 Advanced Analytical Mechanics (Beijing: BeijingInstitute of Technology Press) (in Chinese)
|
[2] |
Noether A E 1918 Nachr. Akad. Math. 2 235
|
[3] |
Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: BeijingInstitute of Technology Press) (in Chinese)
|
[4] |
Xu X J and Mei F X 2004 J. Beijing Inst. Technol. 23 0001(in Chinese)
|
[5] |
Zhang Y, Fan C X and Mei F X 2006 Acta Phys. Sin. 55 3237 (in Chinese)
|
[6] |
Jia L Q, Zhang Y Y, Luo S K and Cui J C 2009 Acta Phys. Sin. 58 2141 (in Chinese)
|
[7] |
Fang J H, Xue Q Z and Zhao C Q 2002 Acta Phys. Sin. 51 2183 (in Chinese)
|
[8] |
Cui J C, Zhang Y Y and Jia L Q 2009 Chin. Phys. B 18 1731
|
[9] |
Qiao Y F, Zhao S H and Li R J 2004 Chin. Phys. 13 292
|
[10] |
Ge W K and Zhang Y 2004 Chin. Quar. Mech. 25 573
|
[11] |
Lutzky M 1998 Int. J. Non-linear Mech. 33 393
|
[12] |
Mei F X 2001 Chin. Phys. 10 177
|
[13] |
Luo S K 2002 Acta Phys. Sin. 51 712 (in Chinese)
|
[14] |
Luo S K 2002 J. Changsha Univ. 16 1(in Chinese)
|
[15] |
Jia L Q, Xie J F and Zheng S W 2008 Chin. Phys. B 17 17
|
[16] |
Mei F X 2003 J. Beijing Inst. Technol. 23 0001 (in Chinese)
|
[17] |
Li R J, Qiao Y F and Meng J 2002 Acta Phys. Sin. 51 0001 (in Chinese)
|
[18] |
Luo S K and Zhang Y F 2008 Advances in the Study of Dynamicsof Constrained Systems (Beijing: Science Press) (in Chinese)
|
[19] |
Fang J H 2003 Commun. Theor. Phys. 40 269
|
[20] |
Chen X W and Mei F X 2000 Chin. Phys. 9 721
|
[21] |
Fu J L, Chen B Y and Xie F P 2008 Chin. Phys. B 17 4354
|
[22] |
Jia L Q, Cui J C, Luo S K and Yang X F 2009 Chin. Phys. Lett. 26 030303
|
[23] |
Jia L Q, Zhang Y Y and Cui J C 2009 J. Yunnan Univ. 31 52 (in Chinese)
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