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NONLOCAL SYMMETRIES AND NONLOCAL RECURSION OPERATORS |
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| Authors: | Chen Yufu Zhang Hongqinga a Institute oj Syetems Science Chinese Academia Beijing China b Institute of Mathematics Dalian University of Technology Dalian China |
| Institution: | Chen Yufu,Zhang Hongqinga a Institute oj Syetems Science,Chinese Academia,Beijing 100080,China b Institute of Mathematics,Dalian University of Technology,Dalian 116024,China |
| Abstract: | An expose about covering method on differential equations was given. The general formulae to determine nonlocal symmetries were derived which are analogous to the prolongation formulae of generalized symmetries. In addition, a new definition of nonlocal recursion operators was proposed, which gave a satisfactory explaination in covering theory for the integro-differential recursion operators. |
| Keywords: | Differential equations nonlocal symmetries recursion operators |
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