摘要
本文研究了离散微分方程的李对称问题.利用差分方程的延拓方法和交换流方法,我们求得了若干重要的差分方程、微分差分方程的李对称,推广了对称性分析法在连续微分方程讨论时的结果.
In this paper, we discuss the Lie symmetry of discrete differential equations. By means of the prolonging method and the commuting flows method, we obtain the Lie symmetry of some important different equations and differential-difference equations, which extends the results in the case of continuous differential equations.
出处
《数学杂志》
CSCD
北大核心
2015年第4期995-1004,共10页
Journal of Mathematics
基金
国家自然科学基金资助(10801045)
关键词
对称性
延拓
微分差分方程
差分方程
symmetry
prolongation
differential-difference equation
difference equation
