摘要
利用李群方法研究了mKdV差分方程.得到了mKdV微分方程及差分格式的无穷小生成元的李代数.发现对称不仅保持mKdV微分方程的不变性,同时也保持了差分格式在均匀正交网格下的不变性.差分格式的保对称性有助于微分方程及其差分方程的定性研究.
By means of Lie point symmetry method, we have studied the difference equation of the mKdV, then get the Lie algebra infinitesimal operators of differential equation and difference mesh of the mKdV. We find out that Lie point symmetry not only keep mKdV of the differential equation invariance, but also keep the difference equations with unified orthogonal mesh invariance. Difference equation of the preserving symmetry is help to investigate the quality of differential equation and difference equation.
出处
《聊城大学学报（自然科学版）》
2012年第4期1-4,10,共5页
Journal of Liaocheng University:Natural Science Edition
基金
国家自然科学基金
中国工程物理研究院联合基金资助项目(11076015)
关键词
李群
MKDV方程
差分方程
均匀正交网格
不变性
Lie group, mKdV equation, difference equation, uniformity and orthogonality of mesh,invariance
