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

DOI10.15407/MAG13.02.119zbMath1392.35200OpenAlexW2618402483MaRDI QIDQ4641819

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Publication date: 18 May 2018

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/140568

zbMATH Keywords

gauge equivalenceMaxwell-Bloch equationstransformation operatorsmatrix Riemann Hilbert problems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Initial-boundary value problems for nonlinear first-order PDEs (35F31)

Related Items (4)

Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier ⋮ On the Maxwell‐Bloch system in the sharp‐line limit without solitons ⋮ Initial-boundary value problem for the Maxwell-Bloch equations with an arbitrary inhomogeneous broadening and periodic boundary function ⋮ Propagation of electric field generated by periodic pumping in a stable medium of two-level atoms of the Maxwell–Bloch model

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