On Maxwell-Bloch systems with inhomogeneous broadening and one-sided nonzero background

DOI10.1007/s00220-024-05054-yMaRDI QIDQ6585693

G. Biondini, Barbara Prinari, Gregor Kovačič, Asela Abeya

Publication date: 12 August 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

inverse scattering transformRiemann-Hilbert problemMaxwell-Bloch systems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inverse problems for PDEs (35R30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Atomic physics (81V45) Lasers, masers, optical bistability, nonlinear optics (78A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Soliton solutions (35C08)

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Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

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