Geodesic
Commuting Differential Operators of Rank 2 with Polynomial Coefficients
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 1, pp. 67-75

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Self-adjoint commuting differential operators with polynomial coefficients are considered. These operators form a commutative subalgebra of the first Weyl algebra. New examples of commuting differential operators of rank $2$ are found.
Keywords: differential operator, first Weyl algebra, Krichever–Novikov equation, Dixmier hypothesis, nonlinear equation, operator of nontrivial rank. 
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     author = {V. S. Oganesyan},
     title = {Commuting {Differential} {Operators} of {Rank} 2 with {Polynomial} {Coefficients}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_1_a5/}
}
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V. S. Oganesyan. Commuting Differential Operators of Rank 2 with Polynomial Coefficients. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 1, pp. 67-75. http://geodesic.mathdoc.fr/item/FAA_2016_50_1_a5/