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Self-adjoint commuting differential operators of rank two

This is a survey of results on self-adjoint commuting ordinary differential operators of rank two. In particular, the action of automorphisms of the first Weyl algebra on the set of commuting differential operators with polynomial coefficients is discussed, as well as the problem of constructing alg...

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Bibliographic Details
Published in:Russian mathematical surveys 2016-01, Vol.71 (4), p.751-779
Main Author: Mironov, A. E.
Format: Article
Language:English
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Summary:This is a survey of results on self-adjoint commuting ordinary differential operators of rank two. In particular, the action of automorphisms of the first Weyl algebra on the set of commuting differential operators with polynomial coefficients is discussed, as well as the problem of constructing algebro-geometric solutions of rank of soliton equations. Bibliography: 59 titles.
ISSN:0036-0279
1468-4829
DOI:10.1070/RM9730