Matrix commuting differential operators of rank 2

Abstract

In this paper we propose a very effective method for constructing matrix commuting differential operators of rank 2 and vector rank (2,2). We find new matrix commuting differential operators L, M of orders 2 and 2g respectively.

18 pages

References in corpus (3)

• Commuting ordinary differential operators with polynomial coefficients and automorphisms of the first Weyl algebra
• Commuting differential operators of rank 2 with polynomial coefficients
• Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients

Cited by in corpus (1)

• Burchnall-Chaundy polynomials for matrix ODOs and Picard-Vessiot Theory