Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition

Mansur I. Ismailov, Tynysbek Sh. Kalmenov

2023

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DOI 10.1515/jiip-2022-0027
Data confidence 70 medium
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Abstract

Abstract The paper considers the scattering problem for the first-order system of hyperbolic equations on the half-axis with a nonhomogeneous boundary condition. This problem models the phnomennon of wave propagation in a nonstationary medium where an incoming wave unaffected by a potential field. The scattering operator on the half-axis with a nonzero boundary condition is defined and the uniqueness of the inverse scattering problem (the problem of finding the potential with respect to scattering operator) is studied.