2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163476We study the inverse scattering problem for the three dimensional nonlinear Schroedinger equation with the Yukawa potential. The nonlinearity of the equation is nonlocal. We reconstruct the potential and the nonlinearity by the knowledge of the scattering states. Our result is applicable to reconstructing the nonlinearity of the semi-relativistic Hartree equation.Analysis of PDEsFunctional Analysis35R30; 35P25; 35Q40text