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The extended Prelle-Singer method for the conserved quantities of second-ordinary nonlinear coupled dynamics systems and their symmetries

Lou Zhi-Mei

The extended Prelle-Singer method for the conserved quantities of second-ordinary nonlinear coupled dynamics systems and their symmetries

Lou Zhi-Mei
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  • PDF Downloads:  765
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Publishing process
  • Received Date:  13 March 2009
  • Accepted Date:  23 June 2009
  • Published Online:  05 January 2010

The extended Prelle-Singer method for the conserved quantities of second-ordinary nonlinear coupled dynamics systems and their symmetries

  • 1. 绍兴文理学院物理系,绍兴 312000

Abstract: The extended Prelle-Singer method is used to find the conserved quantities of second-ordinary nonlinear coupled dynamics systems such as x=1(x,y),y=2(x,y),and the differential equations of integral factors and the general expression of conserved quantities are obtained. The Noether symmetry and Lie symmetry of the systems are also discussed. Finally,two conserved quantities of quartic anharminic oscillator are obtained by the extended Prelle-Singer method,and the symmetries of this system are discussed.

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