Darboux transformations and coherent interaction of the light pulse with two-level media

DOI10.1088/0266-5611/4/1/015zbMath0698.35154OpenAlexW1991404204MaRDI QIDQ3475749

M. A. Salle, A. V. Rybin, Vladimir B. Matveev

Publication date: 1988

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/4/1/015

zbMATH Keywords

Darboux transformationsmultisoliton solutionsMaxwell-Bloch (RMB) systemself-induced transparency (SIT) equations

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (9)

Double degeneration on second-order breather solutions of Maxwell-Bloch equation ⋮ On the Maxwell‐Bloch system in the sharp‐line limit without solitons ⋮ L-A pairs with rational dependence on spectral parameters. Darboux transformation ⋮ Differential equations in the spectral parameter for matrix differential operators ⋮ Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV ⋮ Nonlinear theory of slow light ⋮ Inverse scattering transform for two-level systems with nonzero background ⋮ Hamiltonian formulation of self-induced transparency theory without slowly varying envelope approximation ⋮ Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations

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