On the two-component generalization of the (2+1)-dimensional Davey-Stewartson I equation

Nurzhan Serikbayev, Gulgassyl Nugmanova, Ratbay Myrzakulov

2019

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DOI 10.1088/1742-6596/1391/1/012160
Data confidence 85 high
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Abstract

Abstract The geometric-gauge equivalent of the famous Ishimori spin equation is the (2+1)-dimensional Davey-Stewartson equation, which in turn is one of the (2+1)-dimensional generalizations of the nonlinear Schrodinger equation. Multicomponent generalization of nonlinear integrable equations attract considerable interest from both physical and mathematical points of view. In this paper, the two-component integrable generalization of the (2+1)-dimensional Davey-Stewartson I equation is obtained based on its one-component representation, and the corresponding Lax representation is also obtained.