GENERATORS OF VECTOR FIELDS AND TIME DEPENDENT SYMMETRIES OF EVOLUTION EQUATIONS

被引：0
|
作者：
马文秀
机构：
[1] Fudan University
[2] PRC
[3] Shanghai 200433
[4] Institute of Mathematics
来源：
Science China Mathematics | 1991年 / 07期
基金：
中国国家自然科学基金;
关键词：
Lie derivative; hereditary symmetry; generator; time dependent symmetry;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the conception of generators of vector fields with the general characteris-tic is introduced and the correspondence with time dependent symmetries of evolution equa-tions is provided along with applications to special evolution equations. Furthermore, atheoretical approach for generating time polynomial dependent symmetries of hierarchies ofevolution equations is proposed through hereditary symmetries.
引用
收藏
页码：769 / 782
页数：14
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