扰动微分方程近似对称及近似不变解  

Approximate Symmetries and Approximate Invariant Solutions of Perturbed Differential Equations

作　　者：白玉山[1] 庞晶[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）》2009年第4期366-373,共8页Journal of Inner Mongolia University：Natural Science Edition

基　　金：教育部博士点基金(No.20070128001);内蒙古自然科学基金重点项目(No.200607010103)

摘　　要：给出三类扰动微分方程近似对称和近似势对称,并由此构造了对应的近似不变解.在近似对称和近似势对称的计算过程中,借助微分形式吴方法有效克服求解超定方程组的困难,拓广了吴方法的应用领域.Approximate symmetries and approximate potential symmetries of three classes of perturbed differential equations are given,and the corresponding approximate invariant solutions are constructed. The problems of solving determining equations for approximate symmetry calculations are solved successfully by using differential form of Wu＇s method. It is also a new extension of Wu＇ s method in differential equations.

关 键 词：近似对称 微分形式吴方法 近似不变解 

分 类 号：O175.29[理学—数学]