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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.
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Keywords:
- Appell equation /
- Mei symmetry /
- new structural equation /
- new conserved quantity
[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 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 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 58 5150]
[12] Cai J L 2009 Acta Phys. Sin. 58 22 (in Chinese) [蔡建乐 2009 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 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 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 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 51 1]
[27] Luo S K 2002 Acta Phys. Sin. 51 712 (in Chinese) [罗绍凯 2002 51 712]
[28] Jia L Q, Xie J F, Zheng S W 2008 Chin. Phys. B 17 17
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[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 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 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 58 5150]
[12] Cai J L 2009 Acta Phys. Sin. 58 22 (in Chinese) [蔡建乐 2009 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 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 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 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 51 1]
[27] Luo S K 2002 Acta Phys. Sin. 51 712 (in Chinese) [罗绍凯 2002 51 712]
[28] Jia L Q, Xie J F, Zheng S W 2008 Chin. Phys. B 17 17
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