用n-1个单参数李群求n阶自治系统的首次积分  

Searching for First Integrals of the n-th Order Autonomous System Based on n-1 Single-Parameter Lie Groups

作　　者：刘洪伟[1] 

机构地区：[1]东北电力大学理学院,吉林132012

出　　处：《应用数学学报》2009年第4期589-594,共6页Acta Mathematicae Applicatae Sinica

摘　　要：在一般条件下,对n阶自治系统给出利用系统所接受的n-1个独立单参数李群的生成元计算首次积分的方法,并给出方程组有满足条件的非零解的充要条件。Under general conditions,a method for solving first integrals of the n-th order autonomous system is given based on the generators of n-1 admitted single-paraeter Lie groups.The sufficient and necessary condition is obtained under which the equations has a non-zero solution satisfying given conditions.

关 键 词：n阶自治系统 首次积分 单参数李群 

分 类 号：O175.14[理学—数学]