Nonlinear waves of the Hirota and the Maxwell Bloch equations in nonlinear optics |
| |
| Affiliation: | Li Chuan-Zhong a) , He Jing-Song a) , and K. Porseizan b)c) 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-Universitt Jena, Max-Wein Platz 1, D-07743 Jena, Germany |
| |
| Abstract: | In this paper, considering the Hirota and the Maxwell-Bloch (H-MB) equations which are governed by femtosecond pulse propagation through a two-level doped fiber system, we construct the Darboux transformation of this system through a 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: | |
| 本文献已被 CNKI 等数据库收录！ |
|
