Geodesic
B\"{a}cklund transformations of the Painlev\'{e} equations and rational solutions of the Korteweg--de Vries equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 29-34

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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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     author = {V. A. Andreev},
     title = {B\"{a}cklund transformations of the {Painlev\'{e}} equations and rational solutions of the {Korteweg--de} {Vries} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {61},
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V. A. Andreev. B\"{a}cklund transformations of the Painlev\'{e} 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/