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On Form Invariance,Lie Symmetry,and Three Kinds of ConservedQuantities of Generalized Lagrange's Equations
Authors:ZHAO Shu-Hong  LIANG Li-Fu
Affiliation:1. School of Civil Engineering, Harbin Engineering University, Harbin 150001, China;2. Engineering College, Northeast Agricultural University,Harbin 150030, China
Abstract:
In this paper, the form invariance and the Lie symmetry of Lagrange's equations for nonconservative system in generalized classical mechanics under the infinitesimal transformations of group are studied, and the Noether's conserved quantity, the new form conserved quantity, and the Hojman's conserved quantity of system are derived from them. Finally, an example is given to illustrate the application of the result.
Keywords:form invariance   Lie symmetry   conserved quantity  generalized classical mechanics   Lagrange's equation   
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