Explicit characterization of some commuting differential operators of rank 2
Classical Analysis and ODEs
2023-04-27 v3
Abstract
In this paper we consider differential opeartor L=d^4_x + u(x). We find the commutativity condition for operator L with a differential operator M of order 4g+2, where L and M are operators of rank 2. Some examples are constructed. These examples don't commute with differential opeartors of odd order.
Cite
@article{arxiv.1502.07491,
title = {Explicit characterization of some commuting differential operators of rank 2},
author = {Vardan Oganesyan},
journal= {arXiv preprint arXiv:1502.07491},
year = {2023}
}