Weyl functions and the boundary value problem for a matrix nonlinear   Schr\"odinger equation on a semi-strip
  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. 
Alexander Sakhnovich
math.AP math.SP nlin.SI