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.
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Foundation item: the Foundation of Education Commission of Liaoning Provine, China
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Yufu, C., Hongqing, Z. A generalization of recursion operators of differential equations. Appl Math Mech 20, 1230–1236 (1999). https://doi.org/10.1007/BF02463791
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DOI: https://doi.org/10.1007/BF02463791