摘要
本文对已知的微分算子,构造一个在该微分算子下不变的有限维线性空间,利用此空间的基得到了具有三个或三个以上自变量的偏微分方程的广义分离变量解.
In this paper,we construct a finite-dimensional invariant linear spaces under a given differential operator. By using the basis of the spaces ,we obtain the generalized separation of variables solution for partial differential equations of three or more variables.
出处
《内蒙古工业大学学报(自然科学版)》
2010年第2期86-92,共7页
Journal of Inner Mongolia University of Technology:Natural Science Edition
关键词
偏微分方程
线性不变空间
广义分量解
Lie-Bcklund对称
Partial differential equation (s)
Linnet invariant spaces
Generalized separation of variables solutions
Lie-Blacklund Symmetry