On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition
Yazarlar (2)
Kh R. Mamedov Artvin Coruh University, Türkiye
Prof. Dr. Aynur ÇÖL Sinop Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Mathematical Methods in the Applied Sciences (Q2) | ||
| Dergi ISSN | 0170-4214 Dergi Bilgileri (2012) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2012 |
| Cilt / Sayı / Sayfa | 35 / 14 / 1712–1720 | DOI | 10.1002/mma.2553 |
| Makale Linki | http://doi.wiley.com/10.1002/mma.2553 | ||
| UAK Araştırma Alanları |
Matematik
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| Özet |
| On the positive semi-infinite interval, we obtained a generalization of the Marchenko method for a Dirac equation system with a discontinuous coefficient and a quadratic polynomial on a spectral parameter in the boundary condition. In this connection, we use an new integral representation of the Jost solution of equation systems, which does not have a 'triangular' form. The scattering function of the problem is defined, and its properties are examined. The Marchenko-type main equation is obtained, and it is shown that the potential is uniquely recovered in terms the scattering function. Copyright © 2012 John Wiley & Sons, Ltd. |
| Anahtar Kelimeler |
| Dirac equation system | discontinuous coefficient | Marchenko-type equation | nonlinear spectral parameter | scattering function |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 12 |
| Scopus | 10 |