Asymmetric Rogue Waves, Breather-to-Soliton Conversion, and Nonlinear Wave Interactions in the Hirota-Maxwell-Bloch System

被引：52

作者：

Wang, Lei ^{[1
]}

Zhu, Yu-Jie ^{[2
]}

Wang, Zi-Qi ^{[3
]}

Xu, Tao ^{[4
]}

Qi, Feng-Hua ^{[5
]}

Xue, Yu-Shan ^{[6
]}

机构：

[1] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

[2] North China Elect Power Univ, Sch Elect & Elect Engn, Beijing 102206, Peoples R China

[3] North China Elect Power Univ, Sch Energy Power & Mech Engn, Beijing 102206, Peoples R China

[4] China Univ Petr, Coll Sci, Beijing 102249, Peoples R China

[5] Beijing Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China

[6] Cent Univ Finance & Econ, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2016年 / 85卷 / 02期

基金：

中国国家自然科学基金;

关键词：

SELF-INDUCED-TRANSPARENCY; ERBIUM-DOPED FIBER; SCHRODINGER-EQUATION; OPTICAL SOLITONS; COEXISTENCE; PROPAGATION; DISPERSION; SCATTERING; PLASMA; LIGHT;

D O I：

10.7566/JPSJ.85.024001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the nonlinear localized waves on constant backgrounds of the Hirota-Maxwell-Bloch (HMB) system arising from the erbium doped fibers. We derive the asymmetric breather, rogue wave (RW) and semirational solutions of the HMB system. We show that the breather and RW solutions can be converted into various soliton solutions. Under different conditions of parameters, we calculate the locus of the eigenvalues on the complex plane which converts the breathers or RWs into solitons. Based on the second-order solutions, we investigate the interactions among different types of nonlinear waves including the breathers, RWs and solitons.

引用

页数：15

共 20 条

[1] SOLITON INTERACTIONS FOR A HIROTA-MAXWELL-BLOCH SYSTEM IN THE INHOMOGENEOUS ERBIUM-DOPED FIBER
Wang, M.
Tian, B.
Qi, F-H.
Qin, B.
Lin, Z-Q.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (24):
[2] Soliton interactions in a generalized inhomogeneous coupled Hirota-Maxwell-Bloch system
Xue, Yu-Shan
Tian, Bo
Ai, Wen-Bao
Qi, Feng-Hua
Guo, Rui
Qin, Bo
NONLINEAR DYNAMICS, 2012, 67 (04) : 2799 - 2806
[3] Degenerate soliton, breather and mixed solutions for a coupled Hirota-Maxwell-Bloch system in an erbium-doped fiber
Xiao, Yun-Shan
Xie, Xi-Yang
EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (08)
[4] Soliton solutions for Hirota-Maxwell-Bloch system and its nonlocal form
Guo, Jia-Huan
Guo, Rui
MODERN PHYSICS LETTERS B, 2022, 36 (02):
[5] Breather-to-soliton and rogue wave-to-soliton transitions in a resonant erbium-doped fiber system with higher-order effects
Wang, Lei
Li, Shen
Qi, Feng-Hua
NONLINEAR DYNAMICS, 2016, 85 (01) : 389 - 398
[6] Deformed soliton, breather and rogue wave solutions of an inhomogeneous nonlinear Hirota equation
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Yong, Xuelin
Huang, Yehui
Yu, Rui
Gao, Jianwei
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 29 (1-3) : 257 - 266
[7] Higher-order rogue wave solutions for a generalized Hirota-Maxwell-Bloch system in the erbium-doped fibers
Zhang, Huan
Cao, Bo
Gu, Yangqing
OPTIK, 2021, 227 (227):
[8] Soliton interactions in a generalized inhomogeneous coupled Hirota–Maxwell–Bloch system
Yu-Shan Xue
Bo Tian
Wen-Bao Ai
Feng-Hua Qi
Rui Guo
Bo Qin
Nonlinear Dynamics, 2012, 67 : 2799 - 2806
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Sun, Wen-Rong
Wang, Lei
Xie, Xi-Yang
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 499 : 58 - 66
[10] Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrodinger Maxwell-Bloch equations
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Li, Xiao
Qi, Feng-Hua
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ANNALS OF PHYSICS, 2015, 359 : 97 - 114

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