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Bäcklund transformations and nonlocal symmetries. (English. Russian original) Zbl 0659.35092

Sov. Math., Dokl. 36, No. 3, 393-395 (1988); translation from Dokl. Akad. Nauk SSSR 297, 11-14 (1987).
We propose a method of constructing nonlocal symmetries of differential equations based on Bäcklund transformations and the theory of Lie- Bäcklund groups.

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
35A30 Geometric theory, characteristics, transformations in context of PDEs