The inverse scattering problem for the first-order hyperbolic system on the semi-axis in the case of 2 incident and 2 scattered waves under consideration of 2 problems with the same given incident waves and different boundary conditions is considered. The scattering data on the semi-axis are given in terms of the scattering operator on the whole axis for the same system with the coefficients, which are extended in the whole axis by zero.
ISMAILOV, MANSUR and TEKİN, İBRAHİM
"Scattering data in an inverse scattering problem on the semi-axis for a first-order hyperbolic system,"
Turkish Journal of Mathematics: Vol. 38:
1, Article 10.
Available at: https://journals.tubitak.gov.tr/math/vol38/iss1/10