Прямая и обратная задачи рассеяния для гиперболической системы шести уравнений первого порядка на полуоси

Abstract

We investigate the direct and inverse scattering problems for a hyperbolic system of six equations of first order on a semi-axis when there are four incident and two scattering waves. We prove the theorem about existence and uniqueness of solution of the inverse scattering problem under joint consideration of four problems with different boundary conditions.