微分方程递归算子的一种推广  

A Generalization of Recursion Operators of Differential Equations

作　　者：陈玉福[1,2] 张鸿庆[1] 

机构地区：[1]大连理工大学数学研究所 [2]锦州师范学院数学系,辽宁锦州121003

出　　处：《应用数学和力学》1999年第11期1143-1148,共6页Applied Mathematics and Mechanics

基　　金：辽宁省教委资助课题

摘　　要：微分方程的多数重要的递归算子都是积微分算子·　在试图获得整个对称族时人们常常遇到困难·　有时甚至由于缺乏精确性而导致伪对称·　本文给出递归算子一种推广，其在某种程度上消除了这些问题·　文中还给出了若干重要例子说明这种推广及其重要性·Most important recursion operators of differential equations are integro_differential operators. One often runs into difficulties in trying to obtain a full hierarchy of symmetries. The lack of precision sometimes leads to bogus symmetries. In the present paper, a generalization of recursion operators is given, which eliminates the problem. Several examples are also given to demonstrate the generalization and the significance of the generalization is shown simultaneously.

关 键 词：递归算子 延拓 微分方程 积微分算子 

分 类 号：O175.3[理学—数学]