Matrix Riemann-Hilbert Problems and Maxwell-Bloch Equations without Spectral Broadening

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2014
• Main Authors: Kotlyarov, V.P., Moskovchenko, E.A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106802
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Matrix Riemann-Hilbert Problems and Maxwell-Bloch Equations without Spectral Broadening / V.P. Kotlyarov, E.A. Moskovchenko // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 3. — С. 328-349. — Бібліогр.: 24 назв. — англ.

The Maxwell-Bloch equations have been intensively studied by many authors. The main results are based on the inverse scattering transform and the Marchenko integral equations. However this method is not acceptable for mixed problems. In the paper, we develop a method allowing to linearize mixed prob...