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Darboux transformations and solutions of nonlocal Hirota and Maxwell–Bloch equations
Author(s) -
An Ling,
Li Chuanzhong,
Zhang Lixiang
Publication year - 2021
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12378
Subject(s) - mathematical physics , maxwell's equations , space (punctuation) , femtosecond pulse , mathematics , femtosecond , pulse (music) , mathematical analysis , physics , quantum mechanics , computer science , laser , operating system , voltage
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, P T ‐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.