Davey-Stewartson Equation from a Zero Curvature and a Self-Duality Condition

Details Davey-Stewartson Equation from a Zero Curvature and a Self-Duality Condition Davey-Stewartson Equation from a Zero Curvature and a Self-Duality Condition

1993-12-09

arxiv.org/abs/hep-th/9312070v1

Mod.Phys.Lett. A9 (1994) 1267-1272

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, UR-1332, ER-40685-782

Scientific paper

We derive the two equations of Davey-Stewartson type from a zero curvature condition associated with SL(2,{\bf R}) in $2+1$ dimensions. We show in general how a $2+1$ dimensional zero curvature condition can be obtained from the self-duality condition in $3+3$ dimensions and show in particular how the Davey-Stewartson equations can be obtained from the self-duality condition associated with SL(2,{\bf R}) in $3+3$ dimensions.

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