2021/02/14 by Ling An, An, Ling, Chuanzhong Li +3
Mathematics · Physics and Astronomy · #35Q53 #37K05 #37K10 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Optics (physics.optics) #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP #msc:35Q53 #msc:37K05 #msc:37K10 #nlin.SI #physics.optics
paper · pdf · doi:10.48550/arxiv.2102.07151
22 Pages, accepted for publication in Studies in Applied Mathematics
arxiv created 2021/02/14 · openalex publication_date 2021/02/14 · arxiv updated 2021/02/16 · openalex created_date 2021/03/01 · openalex updated_date 2026/07/28
In this paper, based on the Hirota and Maxwell-Bloch (H-MB) system and its application in the theory of the femtosecond pulse propagation through an erbium doped fiber, we define two kinds of nonlocal Hirota and Maxwell-Bloch (NH-MB) systems, namely, PT-symmetric NH-MB system and reverse space-time NH-MB system. Then we construct the Darboux transformations of these NH-MB systems. Meanwhile, we derive the explicit solutions by the Darboux transformations.