扰动微分方程近似对称分类  

Approximate Symmetry Classifications of Perturbed Differential Equations

作　　者：白玉山[1] 郑丽霞[1] 任文秀[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2014年第4期337-341,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自然科学基金资助项目(No.2011BS0106)

摘　　要：确定扰动微分方程近似对称分类时主要采用近似Lie算法.分类方程的获取及确定方程组的求解是对称分类问题的关键所在.文中利用近似Lie算法、等价变换技巧给出了扰动KP方程的近似对称分类及扰动Hopf方程的近似势对称分类.Approximate Lie＇s algorithm is mainly used to analyze the symmetry classification of perturbed differential equations with arbitrary parameters.The key point to determine the symmetry classification is to find out classification equations and to solve determining equations.Approximate symmetry classifications of generalized perturbed KP equation and perturbed Hopf equation are performed by using approximate Lie＇s algorithm method and the technique of equivalence transformations.

关 键 词：扰动微分方程 近似对称 对称分类 

分 类 号：O175[理学—数学]