On the investigation of nonlinear waves of the Hirota and the Maxwell–Bloch equation in nonlinear optics |
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| Institution: | a Department of Mathematics, Ningbo University, Ningbo 315211, China;
b Department of Physics, Pondicherry University, Puducherry 605014, India;
c Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wein Platz 1, D-07743 Jena, Germany |
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| Abstract: | In this paper, considering the Hirota and Maxwell–Bloch (H-MB) equations which is governed by femtosecond pulse propagation through two-level doped fibre system, we construct the Darboux transformation of this system through linear eigenvalue problem. Using this Daurboux transformation, we generate multi-soliton, positon, and breather solutions (both bright and dark breathers) of the H-MB equations. Finally, we also construct the rogue wave solutions of the above system. |
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| Keywords: | Hirota and Maxwell–Bloch equations nonlinear optics rogue wave |
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