Title: Applications of the dressing chains for constructing solutions of integrable systems in 3D

Abstract: Dressing chains can be viewed as higher symmetries with discrete time. It is well known that when constructing solutions to nonlinear equations using symmetries, a stationary solution of the symmetry is used. But for equations of dimension 1+2, such an approach is not effective due to problems with nonlocal variables. We modernized this scheme by replacing the infinie dressing chain with its finite-field reductin, consistent with the integrability property.The effectiveness of such a simplification is illustrated by the example of the Davey-Stewartson equation, for which a new solution is constructed.