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 (...
Main Author: | Carpentier, Sylvain |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | English |
Published: |
Springer Japan
2017
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Online Access: | http://hdl.handle.net/1721.1/107669 https://orcid.org/0000-0001-6809-4128 |
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