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Unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system

Xia Li-Li Li Yuan-Cheng Wang Xiao-Ming

Unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system

Xia Li-Li, Li Yuan-Cheng, Wang Xiao-Ming
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  • PDF Downloads:  708
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Publishing process
  • Received Date:  07 August 2009
  • Accepted Date:  27 August 2009
  • Published Online:  15 May 2010

Unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system

  • 1. (1)河南教育学院物理系,郑州 450046; (2)中国石油大学(华东)物理科学与技术学院,青岛 266555

Abstract: The unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system are studied. On the base of the Nielsen equation, we first give the Noether symmetry, the Lie symmetry and the Mei symmetry for the equation and the conserved quantities deduced from them, then the definition and the criterion for unified symmetry of Nielsen equation are presented, lastly, the Mei conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the result.

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