Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion

doi:10.1088/1674-1056/20/1/010203

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10203-010203.doi: 10.1088/1674-1056/20/1/010203

Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion

罗绍凯¹, 解银丽², 贾利群²

(1)Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; (2)School of Science, Jiangnan University, Wuxi 214122, China

收稿日期:2010-06-19 修回日期:2010-06-29 出版日期:2011-01-15 发布日期:2011-01-15

Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion

Xie Yin-Li(解银丽)^a),Jia Li-Qun(贾利群)^a)^†,and Luo Shao-Kai(罗绍凯)^b)

^a School of Science, Jiangnan University, Wuxi 214122, China; ^b Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China

Received:2010-06-19 Revised:2010-06-29 Online:2011-01-15 Published:2011-01-15

摘要/Abstract

摘要： Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated. The definition and the criterion of the special Lie symmetry of Appell equations in a dynamical system of relative motion under infinitesimal group transformation are presented. The expression of the equation for the special Lie symmetry of Appell equations and the Hojman conserved quantity, deduced directly from the special Lie symmetry in a dynamical system of relative motion, are obtained. An example is given to illustrate the application of the results.

关键词: dynamics of relative motion, Appell equations, special Lie symmetry, Hojman conserved quantity

Abstract: Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated. The definition and the criterion of the special Lie symmetry of Appell equations in a dynamical system of relative motion under infinitesimal group transformation are presented. The expression of the equation for the special Lie symmetry of Appell equations and the Hojman conserved quantity, deduced directly from the special Lie symmetry in a dynamical system of relative motion, are obtained. An example is given to illustrate the application of the results.

Key words: dynamics of relative motion, Appell equations, special Lie symmetry, Hojman conserved quantity

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

11.30.-j (Symmetry and conservation laws)

解银丽, 贾利群, 罗绍凯. Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion[J]. 中国物理B, 2011, 20(1): 10203-010203.

Xie Yin-Li(解银丽), Jia Li-Qun(贾利群), and Luo Shao-Kai(罗绍凯). Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion[J]. Chin. Phys. B, 2011, 20(1): 10203-010203.

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Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion

Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion

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