ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528058
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