This article is cited in 17 papers

Deformations of triple Jordan systems and integrable equations

S. I. Svinolupov, V. V. Sokolov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: Deformations of arbitrary triple Jordan systems are considered. They are defined in terms of the deformation vector satisfying a compatible overdetermined system of differential equations. For the simple triple Jordan systems the deformation vector is explicitly found. It gives rise to new classes of integrable partial differential equations with arbitrary number of unknown functions.

Received: 08.02.1996

DOI: 10.4213/tmf1196

 English version: Theoretical and Mathematical Physics, 1996, 108:3, 1160–1163

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