广义KDV-Burgers方程新情形下的势对称分类  

Potential Symmetry Classification of Generalized KDV-Burgers Equation in a New Situation

作　　者：饶云高[1,2] 朝鲁[2] 

机构地区：[1]内蒙古工业大学,呼和浩特010051 [2]上海海事大学文理学院,上海200135

出　　处：《内蒙古工业大学学报（自然科学版）》2012年第1期1-6,共6页Journal of Inner Mongolia University of Technology：Natural Science Edition

摘　　要：本文对广义KDV-Burgers方程把方程系数看作自变量的势对称进行了讨论.借助吴-微分特征列算法程序包,我们给出了该方程8种不同类型的势对称分类.该结论说明了在我们讨论的情况下能够扩充方程的古典对称.In this paper, a discussion is held on a new situation in which coefficients of KDV - Burgers e- quation are considered as independent variables. By using Wuwen -tsun Differential Characteristic Algorithm, the classification of 8 different types of potential symmetry is given. Results show that the classical symmetry of equation can be extended in the situation presented in this paper.

关 键 词：广义KDV-BURGERS方程 势对称 分类 吴-微分特征列算法 

分 类 号：O175.29[理学—数学]