摘要
对含任意参数(函数)的微分方程进行对称群分类是经典Lie对称理论在微分方程中的主要应用之一,而获得分类方程、求解确定方程组是进行有效对称分类的关键.给出含两个任意函数的二维边界层系统的经典Lie对称分类,并构造了其不变解.
Symmetry classfication of partial differential equations with arbitrary parameters (or functions)is one of the main applications of classical Lie theory to differential equations.The key point to determine the symmetry classification is to find out classification equations and solve determining equa-tions.In this paper,symmetry classification and some corresponding invariant solutions of two-dimensional boundary layer system with arbitrary functions f (u)and g (v)are given.
出处
《内蒙古师范大学学报(自然科学汉文版)》
CAS
北大核心
2014年第3期265-269,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
内蒙古自然科学基金资助项目(2011BS0106)
关键词
偏微分方程
LIE对称
对称分类
partial differential equations
Lie symmetry
symmetry classification