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

共 50 条

[21] Integrability of the hyperbolic reduced Maxwell-Bloch equations for strongly correlated Bose-Einstein condensates
Arnaudon, Alexis
Gibbon, John D.
PHYSICAL REVIEW A, 2017, 96 (01)
[22] Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations
Huang, Lili
Chen, Yong
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 67 : 237 - 252
[23] Few-cycle solitons of an integrable generalization of the reduced Maxwell-Bloch equations
Sazonov, S., V
Ustinov, N., V
PHYSICAL REVIEW A, 2019, 100 (05)
[24] Localised Nonlinear Waves in the Three-Component Coupled Hirota Equations
Xu, Tao
Chen, Yong
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2017, 72 (11): : 1053 - 1070
[25] mbsolve: An open-source solver tool for the Maxwell-Bloch equations
Riesch, Michael
Jirauschek, Christian
COMPUTER PHYSICS COMMUNICATIONS, 2021, 268 (268)
[26] Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell-Bloch equations
Ustinov, N. V.
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (01)
[27] Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations
Wang, Xin
Wang, Lei
Liu, Chong
Guo, Bowen
Wei, Jiao
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 107
[28] Rogue wave management for the generalized inhomogeneous nonlinear Schro • dinger Maxwell-Bloch equation with external potential
Pal, Ritu
Loomba, Shally
OPTIK, 2021, 231
[29] Soliton interaction for Maxwell-Bloch system
Zuo, Da-Wei
Zhang, Gui-Fang
OPTIK, 2020, 221
[30] Explicit solutions from Darboux transformation for the two-component nonlocal Hirota and Maxwell-Bloch system
Yan, Shu
Li, Chuanzhong
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (04)

← 1 2 3 4 5 →