Initial-boundary value problem for the Maxwell-Bloch equations with an arbitrary inhomogeneous broadening and periodic boundary function
DOI10.3842/sigma.2023.096arXiv2212.04524OpenAlexW4389683378MaRDI QIDQ6189132
Publication date: 12 January 2024
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.04524
inverse scattering transformRiemann-Hilbert problemsingular integral equationMaxwell-Bloch equationsinhomogeneous broadeningintegrable nonlinear PDEsperiodic boundary function
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) NLS equations (nonlinear Schrödinger equations) (35Q55) 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) Integral equations with kernels of Cauchy type (45E05)
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