Nonlinear waves of the Hirota and the Maxwell-Bloch equations in nonlinear optics

被引：13
|
作者：
Li Chuan-Zhong [1 ]
He Jing-Song [1 ]
Porseizan, K. [2 ,3 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
[2] Pondicherry Univ, Dept Phys, Pondicherry 605014, India
[3] Univ Jena, Inst Condensed Matter Theory & Solid State Opt, D-07743 Jena, Germany
来源：
CHINESE PHYSICS B | 2013年 / 22卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hirota and Maxwell-Bloch equations; nonlinear optics; rogue wave; SOLITONS; PROPAGATION; GUIDE;
D O I：
10.1088/1674-1056/22/4/044208
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：10
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