https://doi.org/10.1140/epjp/s13360-022-03131-6
Regular Article
Degenerate soliton, breather and mixed solutions for a coupled Hirota–Maxwell–Bloch system in an erbium-doped fiber
Department of Mathematics and Physics, North China Electric Power University, 071003, Baoding, China
Received:
14
December
2021
Accepted:
26
July
2022
Published online:
18
August
2022
In this paper, we investigate a coupled Hirota–Maxwell–Bloch system, which describes the propagation of the optical pulse in an erbium-doped fiber. Degenerate soliton and breather solutions of the system are obtained by the generalized Darboux transformation. On the basis of these solutions, we observe the degenerate bright and dark solitons (breathers) and study the collision dynamics between them. By modifying the generalized Darboux transform, a new method for solving the mixed solutions is found, and the collisions between breathers and rogue waves are obtained. The collision between them is elastic collision, which is a good characteristic in optical fiber propagation.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
