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.
