Inverse scattering for the nonlinear magnetic Schrödinger equation

In this paper, we focus on the inverse scattering problem for the nonlinear Schrödinger equation with magnetic potentials. Specifically, we investigate whether the scattering operator associated with the nonlinear Schrödinger equation can uniquely determine the magnetic potential. Our main goal is to establish the uniqueness result for the magnetic potential based on the scattering data obtained from the scattering operator.