Weyl functions and the boundary value problem for a matrix nonlinear Schrödinger equation on a semi-strip
arXiv:1403.8111 · doi:10.1016/j.jmaa.2014.10.012
Abstract
Rectangular matrix solutions of the defocusing nonlinear Schrödinger 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.