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Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 7، دوره 9، شماره 2، اسفند 2020، صفحه 224-242 اصل مقاله (132.36 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2019.17406.1432 | ||
| نویسندگان | ||
| Anar Adiloğlu Nabiev* ؛ Rauf Kh Amirov | ||
| Department of Mathematics, Faculty of Sciences, Cumhuriyet University, 58140, Sivas, Turkey | ||
| تاریخ دریافت: 30 مهر 1398، تاریخ بازنگری: 09 آذر 1398، تاریخ پذیرش: 12 آذر 1398 | ||
| چکیده | ||
| In the present work, under some di¤erentiability conditions on the potential functions , we rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructing of the potential functions of the equation in that case when there is no a discrete spectrum | ||
| کلیدواژهها | ||
| One dimensional Schrödinger equation؛ scattering data؛ Jost solution؛ direct problem؛ inverse scattering problem | ||
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