Mei Symmetry and New Conserved Quantity of Tzenoff Equations for Holonomic Systems
ZHENG Shi-Wang, XIE Jia-Fang, ZHANG Qing-Hua
1Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 4760002Department of Mechanics, Beijing Institute of Technology, Beijing 100081
Mei Symmetry and New Conserved Quantity of Tzenoff Equations for Holonomic Systems
ZHENG Shi-Wang;XIE Jia-Fang;ZHANG Qing-Hua
1Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 4760002Department of Mechanics, Beijing Institute of Technology, Beijing 100081
摘要A new conserved quantity is deduced from Mei symmetry of Tzenoff equations for holonomic systems. The expression of this new conserved quantity is given, and the determining equation to induce this new conserved quantity is presented. The results exhibit that this new method is easier to find more conserved quantities than the previously reported ones. Finally, application of this new result is presented by a practical example.
Abstract：A new conserved quantity is deduced from Mei symmetry of Tzenoff equations for holonomic systems. The expression of this new conserved quantity is given, and the determining equation to induce this new conserved quantity is presented. The results exhibit that this new method is easier to find more conserved quantities than the previously reported ones. Finally, application of this new result is presented by a practical example.
ZHENG Shi-Wang;XIE Jia-Fang;ZHANG Qing-Hua. Mei Symmetry and New Conserved Quantity of Tzenoff Equations for Holonomic Systems[J]. 中国物理快报, 2007, 24(8): 2164-2166.
ZHENG Shi-Wang, XIE Jia-Fang, ZHANG Qing-Hua. Mei Symmetry and New Conserved Quantity of Tzenoff Equations for Holonomic Systems. Chin. Phys. Lett., 2007, 24(8): 2164-2166.
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2007, Vol. 24 
