Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion |
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Authors: | Xie Yin-Li Jia Li-Qun and Luo Shao-Kai |
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Institution: | School of Science, Jiangnan University, Wuxi 214122, China;School of Science, Jiangnan University, Wuxi 214122, China;Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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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. |
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Keywords: | dynamics of relative motion Appell equations special Lie symmetry Hojman conserved quantity |
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