Geodesic
B\"acklund transformations for superextensions of the Liouville equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 1, pp. 90-101

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A general technique is described for constructing Bäcklund transformations for the Liouville equation and its superextensions in the framework of a method based on nonlinear realizations of infinite-dimensional symmetries. Superfield Bäcklund transformations are found for the $N=2$ and $N=4$ supersymmetric Liouville equations together with the Bäcklund transformations to the solutions of the corresponding free equations. The geometrical meaning of these transformations is established. 
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     author = {E. A. Ivanov and S. O. Krivonos},
     title = {B\"acklund transformations for superextensions of the {Liouville} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {66},
     number = {1},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a6/}
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E. A. Ivanov; S. O. Krivonos. B\"acklund transformations for superextensions of the Liouville equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 1, pp. 90-101. http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a6/