广义Birkhoff系统的Lie对称定理与逆定理  

Lie Symmetries Theorem and Its Inverse of Generalized Birkhoff Systems

作　　者：董文山[1] 王晓林[1] 

机构地区：[1]潍坊学院,山东潍坊261061

出　　处：《潍坊学院学报》2012年第2期66-70,共5页Journal of Weifang University

基　　金：潍坊学院青年科研基金项目(2010Z22)

摘　　要：研究广义Birkhoff系统的Lie对称性,利用运动微分方程在无限小变换下的不变性,建立系统的Lie对称确定方程,得到结构方程和守恒量,研究了Lie对称性逆问题,并举例说明结果的应用。In this paper,lie symmetries of generalized birkhoff systems are studied.By using the invariance of differential equations under the infinitesimal transformations,the determining equations of the Lie symmetries of generalized birkhoff systems are built,and the structure equation and the conserved quantities of the lie symmetries are obtained.The inverse problems of lie symmetries systems are discussed.In the end,an example to illustrate the application of the result is given.

关 键 词：广义BIRKHOFF系统 LIE对称性 确定方程 结构方程 守恒量 

分 类 号：O316[理学—一般力学与力学基础]