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

Published 24 Feb 2019 in nlin.SI | (1902.09012v1)

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

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