On the investigation of nonlinear waves of the Hirota and the Maxwell–Bloch equation in nonlinear optics

Chuan-Zhong, Li ; Jing-Song, He ; Porseizan, K. (2013) On the investigation of nonlinear waves of the Hirota and the Maxwell–Bloch equation in nonlinear optics Chinese Physics B, 22 (4). 044208. ISSN 1674-1056

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Official URL: http://cpb.iphy.ac.cn/EN/abstract/abstract52878.sh...

Related URL: http://dx.doi.org/10.1088/1674-1056/22/4/044208

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.

Item Type:Article
Source:Copyright of this article belongs to Chinese Physical Society.
Keywords:Hirota and Maxwell-Bloch Equations; Nonlinear Optics; Rogue Wave
ID Code:97612
Deposited On:15 May 2013 07:16
Last Modified:15 May 2013 07:16

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