Degenerate soliton, breather and mixed solutions for a coupled Hirota–Maxwell–Bloch system in an erbium-doped fiber

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 obse...

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Bibliographic Details
Published inEuropean physical journal plus Vol. 137; no. 8; p. 937
Main Authors Xiao, Yun-Shan, Xie, Xi-Yang
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 18.08.2022
Springer Nature B.V
Subjects
Applied and Technical Physics
Atomic
Breathers
Collision dynamics
Communication
Complex Systems
Condensed Matter Physics
Doped fibers
Eigenvalues
Elastic scattering
Erbium
Mathematical and Computational Physics
Molecular
Morphology
Optical and Plasma Physics
Optical fibers
Physics
Physics and Astronomy
Propagation
Regular Article
Solitary waves
Theoretical
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Summary: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.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-03131-6