基于吴方法的偏微分方程对称计算、判定和分类新算法（英文）  

A New Algorithms for Symmetry Computation,Decision and Classification of Partial Differential Equations Based on Wu′s Method

作　　者：朝鲁[1] 魏康康 Temuer Chaolu WEI Kang-kang(College of Arts and Sciences ,Shanghai Maritime University ,Shanghai 201306 ,China)

机构地区：[1]上海海事大学文理学院,上海201306

出　　处：《内蒙古大学学报（自然科学版）》2017年第4期404-411,共8页Journal of Inner Mongolia University：Natural Science Edition

基　　金：Supported by Natural Science Foundation of China(No.11571008)~~

摘　　要：综述了作者提出的基于吴方法的偏微分方程(PDE)对称计算、判定和分类新算法的主要进展,并以具体算例说明了给出理论和算法的有效性.算法的主要思想是把PDE对称计算、判定和分类问题转化为微分多项式组的特征列集零点分解问题,从而在吴方法框架内统一处理这些问题.这是吴方法在微分领域中的新应用.A recent development of the algorithms proposed by the authors for symmetry computation,decision and classification of partial differential equations （PDEs） is reported. The algorithms are designed based on Wu＇s method （differential charac- teristic set algorithm）, which provide a systematic and unified mechanical algorithm for these problems. This is a new application of Wu＇s method in differential fields.

关 键 词：吴方法 对称 计算 判定 分类 

分 类 号：O152.5[理学—数学] O175.2[理学—基础数学]