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Lie symmetry and Hojman conserved quantity of Nielsen equation in a dynamical system of the relative motion

Xie Yin-Li Jia Li-Qun Yang Xin-Fang

Lie symmetry and Hojman conserved quantity of Nielsen equation in a dynamical system of the relative motion

Xie Yin-Li, Jia Li-Qun, Yang Xin-Fang
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  • Received Date:  13 May 2010
  • Accepted Date:  04 June 2010
  • Published Online:  15 March 2011

Lie symmetry and Hojman conserved quantity of Nielsen equation in a dynamical system of the relative motion

  • 1. School of Science, Jiangnan University, Wuxi 214122, China

Abstract: Lie symmetry and Hojman conserved quantity for Nielsen equations in a dynamical system of the relative motion are investigated. The definition and the criterion of Lie symmetry of Nielsen equations in a dynamical system of the relative motion under the infinitesimal transformations of groups are given. The expressions of the determining equation of Lie symmetry of Nielsen equations and Hojman conserved quantity deduced directly from Lie symmetry in a dynamical system of the relative motion are obtained. An example is given to illustrate the application of the results.

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