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.

引用

页数：10

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