用吴方法计算BBM-Burgers方程的势对称及其不变解  

Calculating Potential Symmetries and Invariant Solutions of BBM-Burgers′ Equation by Wu′s Method

作　　者：苏道毕力格[1] 朝鲁[1] 

机构地区：[1]内蒙古工业大学数学系,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2006年第4期366-373,共8页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(No.10461005);内蒙古111人才工程资助;教育厅重点领域项目(ZL01008)的部分资助

摘　　要：用微分形式的吴方法计算了BBM-Burgers方程的古典对称和势对称,并求解了对应的不变解.确定了势对称群,并把它应用于不同对称对应的不变解上得到该方程的一系列精确解.重要的是这些解不能由方程的古典对称得到.求解确定方程组时吴方法起到了关键作用.The classical symmetries and potential symmetries of BBM-Burgers equation are calculated by Wu＇s method in differential forms,and some corresponding invariant solutions of this equation are given. Moreover a series of exact solutions of BBM-Burgers equation are obtained by applying potential symmetries on a invariant solution derived from a different symmetry of the equation. It is important that these solutions can not be obtained from classical symmetries of the equation. In solving detemining equations for these symmetries the Wu＇s method plays an important role.

关 键 词：吴方法 特征列集 偏微分方程(组) 势对称 不变解 

分 类 号：O175.29[理学—数学]