%0 Journal Article %T Weyl functions and the boundary value problem for a matrix nonlinear Schr£żdinger equation on a semi-strip %A Alexander Sakhnovich %J Mathematics %D 2014 %I arXiv %X Rectangular matrix solutions of the defocusing nonlinear Schr\"odinger equation (dNLS) are considered on a semi-strip. Evolution of the corresponding Weyl function is described in terms of the initial-boundary conditions. Then initial condition is recovered from the boundary conditions. Thus, solutions of dNLS are recovered from the boundary conditions. %U http://arxiv.org/abs/1403.8111v1