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This article is devoted to discovering Lie symmetry algebra of a(3+1)-dimensional Davey-Stewartson system which appears in the field of plasmaphysics. It is found that the algebra is an infinite dimensional one and ofKac-Moody type. Making use of these symmetries, some reduced equations to lowerdimensions are also presented.

Davey-Stewartson Equations in (3+1)-Dimensions with an Infinite Dimensional Symmetry Algebra