Geodesic
On commuting differential operators
Electronic journal of differential equations, Tome 2000 (2000)
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 in $C$, are meromorphic. In this paper this relationship is explored further by establishing its existence for Gelfand-Dikii systems with rational and simply periodic coefficients.
Classification : 34M05, 37K10, 37K20
Keywords: meromorphic solutions, commuting differential expressions, Lax pairs, KdV, Gelfand-dikii systems 
@article{EJDE_2000__2000__a39,
     author = {Weikard,  R.},
     title = {On commuting differential operators},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0953.34073},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a39/}
}
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Weikard,  R. On commuting differential operators. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a39/