Commuting pairs of linear ordinary differential operators of orders four and six
type: Item
instance of: scholarly article
title: Commuting pairs of linear ordinary differential operators of orders four and six
zbMATH Open document ID: 0654.47027
DOI: 10.1016/0167-2789(88)90007-3
published in: Physica D
publication date: 1988-01-01T00:00:00Z
review text: The author gives a description of all commuting linear ordinary differential operators of order four and six. An elementary and explicit representation of these commuting pairs of operators which are parametrized by a finite number of parameters and by an arbitrary function is given. In this case of ``rank two'' by Krichever and Novikov the results given in section 2 are equivalent to those of P. G. Grinevich.
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 4067676
zbMATH Keywords: commutative rings of differential operators
zbMATH Keywords: elliptic curve
zbMATH Keywords: description of all commuting linear ordinary differential operators of order four and six
author: F. Alberto Grünbaum
reviewed by: Sergei Trofimchuk
MaRDI profile type: Publication
full work available at URL: 0167-2789(88)90007-3
OpenAlex ID: W1988546450
cites work: Q4150053
cites work: Commutative rings of ordinary linear differential operators
cites work: Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I
cites work: Q3872884
cites work: HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS
cites work: Spectral theory of commuting operators of rank two with periodic coefficients
cites work: Rational solutions for the equation of commutation of differential operators
cites work: Q3704310
cites work: Commuting flows and conservation laws for Lax equations
cites work: Q3931544
cites work: Sur les algèbres de Weyl
cites work: Fractional powers of operators and Hamiltonian systems
cites work: Q4257466
description: scientific article; zbMATH DE number 4067676