Geodesic
Two-sided Darboux transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 207-218

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We refine the notion of a Darboux transformation for differential operators of an order higher than two and consider commutative rings of differential operators that are invariant under the group of dilations of the independent variable.
Mots-clés : Darboux transformation
Keywords: commutative ring of differential operators, third-order Bessel equation. 
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     author = {A. B. Shabat and Z. S. El'kanova and A. B. Urusova},
     title = {Two-sided {Darboux} transformations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2012_173_2_a2/}
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A. B. Shabat; Z. S. El'kanova; A. B. Urusova. Two-sided Darboux transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 2, pp. 207-218. http://geodesic.mathdoc.fr/item/TMF_2012_173_2_a2/