Geodesic
Bäcklund correspondences for evolution equations in a multidimensional space
Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 1, pp. 3-13 Cet article a éte moissonné depuis la source Math-Net.Ru

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Our objective is to develop a calculation technique that allows performing an effective algebro-geometric (group) analysis of partial differential equations with arbitrarily many independent variables. We completely describe an important class of multidimensional evolution equations admitting Bäcklund correspondences of a given form. In particular, this class is found to be rather wide, although it turns out to be somewhat richer in the one-dimensional case because the requirement that mixed derivatives be equal is absent.
Keywords: Bäcklund correspondences, evolution systems, differential constraints. 
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V. V. Zharinov. Bäcklund correspondences for evolution equations in a multidimensional space. Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 1, pp. 3-13. http://geodesic.mathdoc.fr/item/TMF_2006_147_1_a0/

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