微分形式吴方法在Lie对称中的应用  

AN APPLICATION OF DIFFERENTIAL FORM WU'S METHOD IN LIE SYMMETRY

作　　者：田毅[1] 闫在在[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《北京师范大学学报（自然科学版）》2012年第3期235-240,共6页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11161031);内蒙古工业大学科研资助项目(ZS 201035)

摘　　要：Lie对称法和微分形式吴方法相结合的方法来计算微分方程(组)的对称.首先,用Lie对称法得到对称的确定方程组,该方程组一般比较大,难于求解,然后,用微分形式吴方法把确定方程组分解为一系列较简单的方程组来求解,文中算例说明这种方法是有效的.Lie symmetry method combined with differential form of Wu’s method was used to compute symmetry of differential equations.Determining equations of symmetry were obtained from Lie symmetry method,but those were large and difficult to solve.Differential form of Wu’s method was used to decompose determining equations into a series of equations,which were easy to solve.Examples were made to show that this method was effective.

关 键 词：LIE对称 微分形式吴方法 确定方程组 

分 类 号：O316[理学—一般力学与力学基础]