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Rectangular matrix solutions of the defocusing nonlinear Schr\"odingerequation (dNLS) are considered on a semi-strip. Evolution of the correspondingWeyl function is described in terms of the initial-boundary conditions. Theninitial condition is recovered from the boundary conditions. Thus, solutions ofdNLS are recovered from the boundary conditions.

Weyl functions and the boundary value problem for a matrix nonlinear Schr\"odinger equation on a semi-strip