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In this paper, the definition of three-order form invariance is given. Then
the relation between the three-order form invariance and the three-order Lie
symmetry is discussed and the sufficient and necessary condition of Lie
symmetry, which comes from the three-order form invariance, is obtained.
Finally a three-order Hojman conserved quantity is studied and an example is
given to illustrate the application of the obtained results. 相似文献
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