摘要
给出计算（偏）微分方程（组）（ＰＤＥｓ）对称的Ｒｉｔ－吴－微分特征列集（消元）算法理论．把古典和非古典ＰＤＥｓ对称的计算问题统一在Ｒｉｔ－吴－微分特征列理论框架之下．给出了产生ＰＤＥｓ对称的无穷小方程和验证已知向量场为ＰＤＥｓ对称向量的机械化证明原理．为计算ＰＤＥｓ对称提供了有效的新的算法理论．
The Wudifferential characteristic set algorithms for computations of PDE′s symmetries is presented,the classical and nonclassical symmetries of PDEs are Determinated in this united framework.The algorithms always yield all Determiining equation (D.Es) of symmetry of the considering PDEs and make the “super large scale” D.Es equivalently reduce to “smaller scale” characteristic set therefore significantly decrease the computational efforts of solving D.Es.A Mechanical principle of computing and testing of PDEs′ symmetry is also given.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
1998年第4期446-450,共5页
Journal of Inner Mongolia University：Natural Science Edition
基金
内蒙古自然科学基金
