Weikard, Rudi2020-01-072020-01-072000-03-09Weikard, R. (2000). On commuting differential operators. <i>Electronic Journal of Differential Equations, 2000</i>(19), pp. 1-12.1072-6691https://hdl.handle.net/10877/9147The theory of commuting linear differential expressions has received a lot of attention since Lax presented his description of the KdV hierarchy by Lax pairs (P, L). Gesztesy and the present author have established a relationship of this circle of ideas with the property that all solutions of the differential equations Ly = zy, z ∈ ℂ, are meromorphic. In this paper this relationship is explored further by establishing its existence for Gelfand-Dikii systems with rational and simply periodic coefficients.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalMeromorphic solutionsCommuting differential expressionsLax pairsKdVGelfand-Dikii systemsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.