On the investigation of nonlinear waves of the Hirota and the Maxwell–Bloch equation in nonlinear optics |
| |
| Affiliation: | 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 |
| |
| 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. |
| |
| Keywords: | Hirota and Maxwell–Bloch equations nonlinear optics rogue wave |
|
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
|
