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

Lou Zhi-Mei

doi:10.7498/aps.59.719

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.

Keywords:
extended Prelle-Singer method /

second-ordinary nonlinear coupled dynamics systems /

conserved quantity /

symmetry
Authors and contacts
Lou Zhi-Mei

1.
绍兴文理学院物理系，绍兴 312000
References

Cited By

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Vol. 59, Issue 2 - 2010-01-20

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

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

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