On Commuting Differential Operators
Date
2000-03-09
Authors
Weikard, Rudi
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
The 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.
Description
Keywords
Meromorphic solutions, Commuting differential expressions, Lax pairs, KdV, Gelfand-Dikii systems
Citation
Weikard, R. (2000). On commuting differential operators. <i>Electronic Journal of Differential Equations, 2000</i>(19), pp. 1-12.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.