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- W4319871808 abstract "Abstract The Hirota and Maxwell–Bloch (H-MB) system is a mathematical model that can be used to describe the wave propagation in an erbium-doped nonlinear fiber with higher-order dispersion. By extending the parameter ω in the H-MB system to the complex domain, all the nonlocal forms of the H-MB system, including the reverse-space-time, complex reverse-space, complex reverse-time, complex reverse-space-time H-MB systems, are found. Then the Riemann–Hilbert problem of the nonlocal H-MB system is established to analyze the corresponding inverse scattering problem and construct the corresponding soliton solutions. When N = 1, the singularity of the one-soliton solutions of each nonlocal H-MB system is analyzed. When N = 2, we take the nonlocal reverse-space-time H-MB system and the nonlocal complex reverse-time H-MB system as examples, showing that a two-soliton can also be regarded as a superposition of two single-soliton in the nonlocal cases as <?CDATA $|t|toinfty$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mrow> <mml:mo>|</mml:mo> </mml:mrow> <mml:mi>t</mml:mi> <mml:mrow> <mml:mo>|</mml:mo> </mml:mrow> <mml:mo stretchy=false>→</mml:mo> <mml:mi mathvariant=normal>∞</mml:mi> </mml:math> ." @default.
- W4319871808 created "2023-02-11" @default.
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- W4319871808 date "2023-02-22" @default.
- W4319871808 modified "2023-09-30" @default.
- W4319871808 title "Inverse scattering transforms for the nonlocal Hirota–Maxwell–Bloch system" @default.
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- W4319871808 doi "https://doi.org/10.1088/1751-8121/acbb45" @default.
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