A sufficient condition for a rational differential operator to generate an integrable system
For a rational differential operator L=AB[superscript −1] , the Lenard-Magri scheme of integrability is a sequence of functions F[subscript n],n≥0, such that (1) B(F[subscript n+1])=A(Fn) for all n≥0 and (2) the functions B(F[subscript n]) pairwise commute. We show that, assuming that property (1) h...
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| Format: | Article |
| Language: | English |
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Springer Japan,
2017-03-23T18:28:07Z.
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| Online Access: | Get fulltext |