Rogue-wave interaction for a higher-order nonlinear Schrodinger-Maxwell-Bloch system in the optical-fiber communication

被引：26
|
作者：
Zuo, Da-Wei [1 ,2 ,3 ]
Gao, Yi-Tian [1 ,2 ]
Feng, Yu-Jie [1 ,2 ]
Xue, Long [1 ,2 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Minist Educ, Key Lab Fluid Mech, Beijing 100191, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China
[3] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Peoples R China
来源：
NONLINEAR DYNAMICS | 2014年 / 78卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Optical fiber; Higher-order nonlinear; Schrodinger-Maxwell-Bloch system; Rogue-wave solution; Darboux transformation; SYMBOLIC-COMPUTATION; EQUATIONS; SOLITONS; DYNAMICS;
D O I：
10.1007/s11071-014-1557-0
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a higher-order nonlinear Schrodinger-Maxwell-Bloch system in the optical-fiber communication is investigated. By virtue of the generalized Darboux transformation, higher-order rogue-wave solutions are derived. Wave propagation and interaction are analyzed: (1) The frequency affects the number of troughs, type and propagation direction of rogue waves for the polarization of the resonant medium and extant population inversion, while the frequency has no influence on the module for the complex envelope of the field. (2) The frequency affects the type of the higher-order rogue-wave interaction. Second- and third-order rogue-wave head-on interactions are presented, with the propagation direction of each rogue wave unvaried after the interaction.
引用
收藏
页码：2309 / 2318
页数：10
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