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On the integrability of equations of Davey–Stewartson type

E. I. Shulman


Abstract: Equations of Davey–Stewartson type for nondegenerate dispersion taw are considered. It is shown that in two spatial dimensions all cases of their integrability reduce to ones already known, while in three spatial dimensions these equations are nonintegrable.

Received: 22.07.1982

 English version: Theoretical and Mathematical Physics, 1983, 56:1, 720–724

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