On the Painlevé property of nonlinear field equations in 2+1 dimensions: The Davey–Stewartson system

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Abstract
With the purpose of clarifying some aspects of the complete integrability of nonlinear field equations, a singular‐point analysis is performed of the Davey–Stewartson system, which can be considered as an extension in 2+1 dimensions of the nonlinear Schrödinger equation. It is found that the system under consideration possesses the Painlevé property and allows a set of Bäcklund transformations obtained by truncating the series expansions of the solutions about the singularity manifold.