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 (...

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