Darboux transformations and solutions of nonlocal Hirota and Maxwell–Bloch equations
Ling An, Chuanzhong Li, Lixiang Zhang
Abstract
Abstract 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, ‐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.
Topics & Concepts
Mathematical physicsMaxwell's equationsSpace (punctuation)Femtosecond pulseMathematicsFemtosecondPulse (music)Mathematical analysisPhysicsQuantum mechanicsComputer scienceVoltageLaserOperating systemNonlinear Waves and SolitonsNonlinear Photonic SystemsQuantum Mechanics and Non-Hermitian Physics