Inverse Scattering Problem for Linear System of Four-Wave Interaction Problem on the Half-Line with a General Boundary Condition
The first order hyperbolic system of four equations on the semi-axis in the case of equal numbers of incident and scattered waves are considered when the velocities of the scattering waves are coincident. It is determined the criteria for inverse scattering problem (the problem of finding the potent...
Збережено в:
| Дата: | 2023 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2023
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| Онлайн доступ: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1014 |
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| Назва журналу: | Journal of Mathematical Physics, Analysis, Geometry |
Репозитарії
Journal of Mathematical Physics, Analysis, Geometry| Резюме: | The first order hyperbolic system of four equations on the semi-axis in the case of equal numbers of incident and scattered waves are considered when the velocities of the scattering waves are coincident. It is determined the criteria for inverse scattering problem (the problem of finding the potential with respect to scattering operator) in terms of transmission matrices in two different boundary conditions. The uniqueness of the inverse scattering problem is studied by utilizing it to Gelfand-Levitan-Marchenko type linear integral equation.
Mathematical Subject Classification 2020: 35R30, 35L50, 35P25, 37K15, 81U40 |
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