变系数二维边界层系统的对称分类

Symmetry Classifications of Two-Dimensional Boundary Layer System

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.