Geodesic
Bäcklund transformations of the Painlevé equations and rational solutions of the Korteweg–de Vries equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 29-34 
V. A. Andreev. Bäcklund transformations of the Painlevé equations and rational solutions of the Korteweg–de Vries equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 29-34. http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a2/
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     title = {B\"acklund transformations of the {Painlev\'e} equations and rational solutions of the {Korteweg{\textendash}de} {Vries} equation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The concept of Bäklund transformations of the Painlevé. equations are defined, and these transformations are found. They are used to construct rational solutions of the Korteweg–de Vries equation.

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