Geodesic
Geometrical structure and B\"acklund transformations of nonlinear evolution equations possessing a~Lax representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 382-393

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The paper is devoted to a differential-geometry analysis of Bäcklund transformations of nonlinear evolution equations possessing a Lax representation. A general property of such equations is formulated, and this makes it possible to find the explicit form of the Bäckluad transformations. 
@article{TMF_1981_46_3_a11,
     author = {A. K. Prikarpatskii},
     title = {Geometrical structure and {B\"acklund} transformations of nonlinear evolution equations possessing {a~Lax} representation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {382--393},
     publisher = {mathdoc},
     volume = {46},
     number = {3},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a11/}
}
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A. K. Prikarpatskii. Geometrical structure and B\"acklund transformations of nonlinear evolution equations possessing a~Lax representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 382-393. http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a11/