Geodesic
Differential operators commuting in the~principal part
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 18-25

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We consider commuting differential operators with two independent variables of general form and obtain general necessary commutativity conditions for low-order operators. We show that these conditions allow classifying commuting pairs of operators whose coefficients are linear functions of the independent variables.
Keywords: commutative ring of differential operators, Schur's formula
Mots-clés : classification. 
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     author = {R. A. Gabiev and A. B. Shabat},
     title = {Differential operators commuting in the~principal part},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {171},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a1/}
}
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R. A. Gabiev; A. B. Shabat. Differential operators commuting in the~principal part. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 18-25. http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a1/