Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier
DOI10.1088/1361-6544/acea15zbMath1529.35491arXiv2210.01175MaRDI QIDQ6095418
Unnamed Author, Volodymyr Kotlyarov
Publication date: 8 September 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.01175
Riemann-Hilbert problemMaxwell-Bloch equationsspectral broadeningrigorous asymptoticstwo-level laser amplifierunified spectral method
Asymptotic behavior of solutions to PDEs (35B40) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) 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) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Riemann-Hilbert problems in context of PDEs (35Q15) Integral equations with kernels of Cauchy type (45E05) Soliton solutions (35C08) Initial-boundary value problems for PDEs of mixed type (35M13)
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