A Generalization of Recursion Operators of Differential Equations

Chen Yufu; Zhang Hongqing

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Chen Yufu, Zhang Hongqing. A Generalization of Recursion Operators of Differential Equations[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1143-1148.

Citation:

Chen Yufu, Zhang Hongqing. A Generalization of Recursion Operators of Differential Equations[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1143-1148.

Citation:

Chen Yufu, Zhang Hongqing. A Generalization of Recursion Operators of Differential Equations[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1143-1148.

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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

Received Date: 1998-05-22
Rev Recd Date: 1999-05-22
Publish Date: 1999-11-15

Abstract

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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References(14)

References

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