Inverse Scattering Problem for Linear System of Four-Wave Interaction Problem on the Half-Line with a General Boundary Condition
DOI:
https://doi.org/10.15407/mag19.02.443Анотація
Розглянуто гiперболiчну систему чотирьох рiвнянь першого порядку на пiвосi у випадку рiвної кiлькостi падної i розсiяних хвиль за умови, що швидкостi розсiяних хвиль збiгаються. Установлено критерiї для оберненої задачi розсiювання (задачi знаходження потенцiалу за оператором розсiювання) в термiнах матриць передачi у двох рiзних крайових умовах. Вивчено єдинiсть оберненої задачi розсiювання за допомогою зведення задачi до лiнiйного iнтегрального рiвняння типу Ґельфанда–Левiтана–Марченка.
Mathematical Subject Classification 2020: 35R30, 35L50, 35P25, 37K15, 81U40
Ключові слова:
обернена задача розсiювання, загальнi крайовi умови, гiперболiчна система першого порядку, оператор перетворенняПосилання
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