微分方程递归算子的一种推广

陈玉福; 张鸿庆

微分方程递归算子的一种推广

陈玉福^1,2,
张鸿庆¹

1.
大连理工大学数学研究所, 辽宁大连116024;
2.
锦州师范学院数学系, 辽宁锦州121003

基金项目: 辽宁省教委资助课题

详细信息

作者简介:
陈玉福(1958- ),男,副教授,研究方向:微分方程,已发表论文20余篇.

中图分类号: O29;O175.3
计量
- 文章访问数: 2375
- HTML全文浏览量: 99
- PDF下载量: 688
- 被引次数: 0
出版历程
- 收稿日期: 1998-05-22
- 修回日期: 1999-05-22
- 刊出日期: 1999-11-15

A Generalization of Recursion Operators of Differential Equations

Chen Yufu^1,2,
Zhang Hongqing¹

1.
Institute of Mathematics Science, Dalian University of Technology, Dalian 116024, P R China;
2.
Department of Mathematics, Jinzhou Normal College, Jinzhou, Liaoning 121003, P R China

摘要

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。
- 对称 /
- 递归算子 /
- 延拓
Abstract: 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 this 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.
- symmetries /
- recursion operators /
- prolongation of equations

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参考文献(14)

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