产生和求解PDEs对称确定方程组的微分特征列集算法理论及其应用

Differential Characteristic Algorithm Theory for Producing and Solving Determining Equations of PDEs Symmetries and Its Applications

基于作者给出的吴－微分特征列集算法理论〔１，６〕，给出了计算微分方程（组）对称的关键一步产生和求解确定方程组的特征列集算法．利用计算机代数系统Ｍａｔｈｅｍａｔｉｃａ１．２ｆｏｒＤｏｓ〔９〕具体实现了本文提出的算法．

Based on the Wu Ritt Characteristic set theory for computing symmetry of partial differential equations (PDEs),given by author 1 ,a differential Characteristic Algorithm for producing and solving Determining Equations of PDEs Symmetries is given,the algorithm is implemented successfully by Computer Algebra System Mathematica 1.2 for DOS.As an application of our algorithm,new classical symmetries of plane stress equations are calculated.