Complete asymptotic representation of an electromagnetic pulse in a long two-level amplifier

DOI10.1007/BF01037673zbMath0625.35070MaRDI QIDQ579527

S. V. Manakov, Victor Yu. Novokshenov

Publication date: 1986

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionPainlevé equationinverse scattering methodelectromagnetic waveMaxwell-Bloch equationsscattering dataLamb's semiclassical theorynonlinear two-level mediumrapidly oscillating self-similar regime

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20) Electromagnetic theory (general) (78A25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions ⋮ 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 ⋮ Polarization switching of light interacting with a degenerate two-level optical medium ⋮ Propagation of electric field generated by periodic pumping in a stable medium of two-level atoms of the Maxwell–Bloch model ⋮ Inverse scattering transform for two-level systems with nonzero background

Cites Work

• Monodromy- and spectrum-preserving deformations. I
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