On an inverse scattering problem for a system of Dirac equations with nonlinear dependence on the spectral parameter

This paper explores an inverse scattering problem for a system of Dirac equations with boundary condition depending on spectral parameter nonlinearly. We provide the scattering data corresponding to the boundary value problem and investigate some properties. In order to discuss inverse problem, the main equation is derived and its unique solvability is proved. As a consequence, we present the reconstruction of the potential matrix function from scattering data uniquely.