Inverse Scattering Problem for Linear System of Four-Wave Interaction Problem on the Half-Line with a General Boundary Condition

Автор(и)

  • Mansur I. Ismailov Department of Mathematics, Gebze Techinal University, Kocaeli, 41400, Turkey
    Department of Mathematics, Khazar University, Baku, 1096, Azerbaijan

DOI:

https://doi.org/10.15407/mag19.02.443

Анотація

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 перетворення

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Ismailov, M. I. Inverse Scattering Problem for Linear System of Four-Wave Interaction Problem on the Half-Line with a General Boundary Condition. Журн. мат. фіз. анал. геом. 2023, 19, 443–455.

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