Abstract:
In this paper, we investigate the nonlocal reverse-time Hirota-Maxwell-Bloch system,
focusing on its soliton solutions using the Darboux transformation method. By deriving the Darboux
transformation for this system, we obtained explicit expressions for the new potentials q
′
, p
′
, and η
′
in
both the defocusing (κ = 1) and focusing (κ = −1) cases. Our analysis reveals significant differences
in soliton behavior depending on the value of κ, with the defocusing case producing wide, smooth
solitons and the focusing case yielding narrow, highly localized solitons. These results provide a
deeper understanding of soliton dynamics in nonlocal integrable systems and lay the groundwork for
future studies on the influence of nonlocality in integrable models.
