Scattering for the forced non-linear Schrodinger equation with a potential on the half-line

摘要

In this paper we construct the scattering operator for the forced non-linear Schrodinger equation with a potential on the half-line. Moreover, in the case where the force is zero, and the solutions satisfy the homogeneous Dirichlet boundary condition at zero, we prove that the scattering operator determines uniquely the potential and the non-linearity and we give a method for the reconstruction of both. Copyright (c) 2005 John Wiley & Sons, Ltd.