Geodesic
Supersymmetric structure of Kadomtsev--Petviashvili equation: Connection between supersymmetry and B\"acklund transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 426-432

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Factorization of the Sato integrodifferential operator that gives the hierarchy of the Kadomtsev–Petviashvili equation is considered. The supersymmetric structure of this hierarchy is investigated by means of the factorization. A connection between the Miura transformations, Bäcklund transformations, and supersymmetry is established. 
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     author = {V. A. Andreev and S. M. Kharchev and M. V. Shmakova},
     title = {Supersymmetric structure of {Kadomtsev--Petviashvili} equation: {Connection} between supersymmetry and {B\"acklund} transformations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {426--432},
     publisher = {mathdoc},
     volume = {91},
     number = {3},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a6/}
}
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V. A. Andreev; S. M. Kharchev; M. V. Shmakova. Supersymmetric structure of Kadomtsev--Petviashvili equation: Connection between supersymmetry and B\"acklund transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 426-432. http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a6/