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

Sun Xian-Ting Han Yue-Lin Wang Xiao-Xiao Zhang Mei-Ling Jia Li-Qun

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

Sun Xian-Ting, Han Yue-Lin, Wang Xiao-Xiao, Zhang Mei-Ling, Jia Li-Qun
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  • A type of new conserved quantity of Mei symmetry for Appell equations in a holonomic system is investigated. Based on the definition and criterion of Mei symmetry for Appell equations in a holonomic system, a type of new structural equation and new conserved quantity of Mei symmetry for Appell equations in a holonomic system expressed by Appell function under the infinitesimal transformations of groups are obtained. An example is given to illustrate the application of the results.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014, 61178032).
    [1]

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    [2]

    Lutzky M D 1979 Phys. A Math. Gen. 12 973

    [3]

    Vujanović B A 1986 Acta Mech. 65 63

    [4]

    Hojman S A 1992 Phys. A Math. Gen. 25 291

    [5]

    Mei F X 1999 Application of Lie Groups and Lie Algebra to Constrained Mechanical Systems (Beijing: Science Press) (in Chinese) [梅凤翔 1999 李群和李群代数约束力学系统的的应用(北京:科学出版社)]

    [6]

    Mei F X 2000 Beijing Inst. Technol. 9 120 (in Chinese) [梅凤翔 2000 北京理工大学学报 9 120]

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    Cai J L, Mei F X 2008 Acta Phys. Sin. 57 5369 (in Chinese) [蔡建乐, 梅凤翔 2008 物理学报 57 5369]

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    Cai J L 2008 Chin. Phys. Lett. 25 1523

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    Chen X W, Zhao Y H, Liu C 2009 Acta Phys. Sin. 58 5150 (in Chinese) [陈向炜, 赵永红, 刘畅 2009 物理学报 58 5150]

    [12]

    Cai J L 2009 Acta Phys. Sin. 58 22 (in Chinese) [蔡建乐 2009 物理学报 58 22]

    [13]

    Zhang Y 2009 Chin. Phys. B 18 4636

    [14]

    Cai J L 2010 Chin. J. Phys. 48 728

    [15]

    Zheng S W, Xie J F, Chen W C 2008 Chin. Phys. Lett. 25 809

    [16]

    Wu H B, Mei F X 2010 Chin. Phys. B 19 030303

    [17]

    Fang J H 2010 Chin. Phys. B 19 040301

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    Mei F X, Wu H B 2010 Chin. Phys. B 19 050301

    [19]

    Li Y C, Wang X M, Xia L L 2010 Acta Phys. Sin. 59 2935 (in Chinese) [李元成, 王小明, 夏丽莉 2010 物理学报 59 2935]

    [20]

    Jiang W A, Li Z J, Luo S K 2011 Chin. Phys. B 20 030202

    [21]

    Xie Y L, Jia L Q, Yang X F 2011 Acta Phys. Sin. 60 030201 (in Chinese) [解银丽, 贾利群, 杨新芳 2011 物理学报 60 030201]

    [22]

    Jia L Q, Sun X T, Zhang M L, Wang X X, Xie Y L 2011 Acta Phys. Sin. 60 084501 (in Chinese) [贾利群, 孙现亭, 张美玲, 王肖肖, 解银丽 2011 物理学报 60 084501]

    [23]

    Jiang W A, Li L, Li Z J, Luo S K 2012 Nonlinear Dynam. 67 075

    [24]

    Jiang W A, Luo S K 2012 Nonlinear Dynam. 67 475

    [25]

    Mei F X 2001 Chin. Phys. 10 177

    [26]

    Li R J, Qiao Y F, Meng J 2002 Acta Phys. Sin. 51 1 (in Chinese) [李仁杰, 乔永芬, 孟军 2002 物理学报 51 1]

    [27]

    Luo S K 2002 Acta Phys. Sin. 51 712 (in Chinese) [罗绍凯 2002 物理学报 51 712]

    [28]

    Jia L Q, Xie J F, Zheng S W 2008 Chin. Phys. B 17 17

  • [1]

    Noether A E 1918 Nachr. Akad. Wiss. Göttingen. Math. Phys. Kl 235

    [2]

    Lutzky M D 1979 Phys. A Math. Gen. 12 973

    [3]

    Vujanović B A 1986 Acta Mech. 65 63

    [4]

    Hojman S A 1992 Phys. A Math. Gen. 25 291

    [5]

    Mei F X 1999 Application of Lie Groups and Lie Algebra to Constrained Mechanical Systems (Beijing: Science Press) (in Chinese) [梅凤翔 1999 李群和李群代数约束力学系统的的应用(北京:科学出版社)]

    [6]

    Mei F X 2000 Beijing Inst. Technol. 9 120 (in Chinese) [梅凤翔 2000 北京理工大学学报 9 120]

    [7]

    Cai J L, Mei F X 2008 Acta Phys. Sin. 57 5369 (in Chinese) [蔡建乐, 梅凤翔 2008 物理学报 57 5369]

    [8]

    Cai J L 2008 Chin. Phys. Lett. 25 1523

    [9]

    Ge W K 2008 Acta Phys. Sin. 57 6714 (in Chinese) [葛伟宽 2008 物理学报 57 6714]

    [10]

    Cai J L, Luo S K, Mei F X 2008 Chin. Phys. B 17 3170

    [11]

    Chen X W, Zhao Y H, Liu C 2009 Acta Phys. Sin. 58 5150 (in Chinese) [陈向炜, 赵永红, 刘畅 2009 物理学报 58 5150]

    [12]

    Cai J L 2009 Acta Phys. Sin. 58 22 (in Chinese) [蔡建乐 2009 物理学报 58 22]

    [13]

    Zhang Y 2009 Chin. Phys. B 18 4636

    [14]

    Cai J L 2010 Chin. J. Phys. 48 728

    [15]

    Zheng S W, Xie J F, Chen W C 2008 Chin. Phys. Lett. 25 809

    [16]

    Wu H B, Mei F X 2010 Chin. Phys. B 19 030303

    [17]

    Fang J H 2010 Chin. Phys. B 19 040301

    [18]

    Mei F X, Wu H B 2010 Chin. Phys. B 19 050301

    [19]

    Li Y C, Wang X M, Xia L L 2010 Acta Phys. Sin. 59 2935 (in Chinese) [李元成, 王小明, 夏丽莉 2010 物理学报 59 2935]

    [20]

    Jiang W A, Li Z J, Luo S K 2011 Chin. Phys. B 20 030202

    [21]

    Xie Y L, Jia L Q, Yang X F 2011 Acta Phys. Sin. 60 030201 (in Chinese) [解银丽, 贾利群, 杨新芳 2011 物理学报 60 030201]

    [22]

    Jia L Q, Sun X T, Zhang M L, Wang X X, Xie Y L 2011 Acta Phys. Sin. 60 084501 (in Chinese) [贾利群, 孙现亭, 张美玲, 王肖肖, 解银丽 2011 物理学报 60 084501]

    [23]

    Jiang W A, Li L, Li Z J, Luo S K 2012 Nonlinear Dynam. 67 075

    [24]

    Jiang W A, Luo S K 2012 Nonlinear Dynam. 67 475

    [25]

    Mei F X 2001 Chin. Phys. 10 177

    [26]

    Li R J, Qiao Y F, Meng J 2002 Acta Phys. Sin. 51 1 (in Chinese) [李仁杰, 乔永芬, 孟军 2002 物理学报 51 1]

    [27]

    Luo S K 2002 Acta Phys. Sin. 51 712 (in Chinese) [罗绍凯 2002 物理学报 51 712]

    [28]

    Jia L Q, Xie J F, Zheng S W 2008 Chin. Phys. B 17 17

Metrics
  • Abstract views:  5434
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  • Cited By: 0
Publishing process
  • Received Date:  14 February 2012
  • Accepted Date:  09 April 2012
  • Published Online:  05 October 2012

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