文献类型：期刊文献

中文题名：二阶非线性耦合动力学系统守恒量的扩展Prelle-Singer求法与对称性研究

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

作者：楼智美[1]

机构：[1]绍兴文理学院物理系

年份：2010

期号：2

起止页码：719

中文期刊名：物理学报

外文期刊名：Acta Physica Sinica

收录：SCI-EXPANDED(收录号：WOS:000274699000005)、CSTPCD、、Scopus、CSCD2011_2012、北大核心2008、WOS、北大核心、CSCD

语种：中文

中文关键词：扩展Prelle-Singer法;二阶非线性耦合动力学系统;守恒量;对称性

外文关键词：extended Prelle-Singer method second-ordinary nonlinear coupled dynamics systems conserved quantity symmetry

中文摘要：将扩展Prelle-Singer法(扩展P-S法)用于求x=Ф1(x,y),y=Ф2(x,y)类型的二阶非线性耦合动力学系统的守恒量,得到了积分乘子满足的微分方程与守恒量的一般形式,并讨论所得守恒量的Noether对称性与Lie对称性.最后用扩展P-S法求得了四次非谐振子系统的两个守恒量,并讨论了系统的对称性.

外文摘要：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.