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Soliton solutions for Hirota–Maxwell–Bloch system and its nonlocal form

Jia-Huan Guo

School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

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Rui Guo

https://orcid.org/0000-0002-2593-7567

School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

E-mail Address: gr81@sina.com

Corresponding author.

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https://doi.org/10.1142/S0217984921505412Cited by:0 (Source: Crossref)

Abstract

This paper studies the Hirota–Maxwell–Bloch (H–MB) system and its nonlocal form. Based on the Darboux Transformations (DTs), for H–MB system, we present general double breathers, what is more, we take appropriate modulation frequency and position parameters to investigate the generative mechanism of rogue wave sequences and different periodic breather sequences. For nonlocal Hirota–Maxwell–Bloch (NH–MB) system, we discuss symmetry preserving and broken soliton solutions under zero background. Besides, we present nine combinations of dark and antidark soliton solutions under continuous waves background when PT-symmetry is broken.

Keywords:

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