Maxwell-Bloch Equations without Spectral Broadening: Gauge Equivalence, Transformation Operators and Matrix Riemann-Hilbert Problems

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2017
• Main Authors: Filipkovska, M.S., Kotlyarov, V.P., Melamedova, E.A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140568
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Maxwell-Bloch Equations without Spectral Broadening: Gauge Equivalence, Transformation Operators and Matrix Riemann-Hilbert Problems / M.S. Filipkovska, V.P. Kotlyarov, E.A. Melamedova // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 2. — С. 119-153. — Бібліогр.: 31 назв. — англ.

A mixed initial-boundary value problem for nonlinear Maxwell{Bloch (MB) equations without spectral broadening is studied by using the inverse scattering transform in the form of the matrix Riemann{Hilbert (RH) problem. We use transformation operators whose existence is closely related with the Gours...