Explicit solutions of nonlocal reverse-time Hirota-Maxwell-Bloch system
Myrzakulova Z. Zakariyeva Z. Suleimenov K. Uralbekova U. Yesmakhanova K.
2024American Institute of Mathematical Sciences
AIMS Mathematics
2024#9Issue 1235004 - 35015 pp.
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.
Darboux transformation , explicit solution , Lax pair , nonlocal reverse-time Hirota and Maxwell-Bloch system , PT-symmetric
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Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 13 Kazhymukan, Astana, 010008, Kazakhstan
Faculty of Physics and Mathematics, M. Utemisov West Kazakhstan University, 162 Nazarbayev, Oral, 090000, Kazakhstan
Faculty of Mechanics and Mathematics, al-Farabi Kazakh National University, 71 al-Farabi, Almaty, 050040, Kazakhstan
Faculty of Mechanics and Mathematics
Faculty of Physics and Mathematics
Faculty of Mechanics and Mathematics
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