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

[41] COHERENT STRUCTURES AND CARRIER SHOCKS IN THE NONLINEAR PERIODIC MAXWELL EQUATIONS
Simpson, G.
Weinstein, M. I.
MULTISCALE MODELING & SIMULATION, 2011, 9 (03) : 955 - 990
[42] Soliton states of Maxwell's equations and nonlinear Schrodinger equation
Chen, YQ
SCIENCE IN CHINA SERIES A-MATHEMATICS, 1997, 40 (10): : 1073 - 1081
[43] Soliton states of Maxwell's equations and nonlinear Schrodinger equation
陈翼强
Science China Mathematics, 1997, (10) : 1073 - 1081
[44] MAXWELL'S EQUATIONS WITH NONLINEAR INHOMOGENEOUS CONSTITUTIVE RELATION: GUIDED WAVES IN A FILM FILLED WITH INHOMOGENEOUS KERR MEDIUM
Valovik, Dmitry V.
SIAM JOURNAL ON APPLIED MATHEMATICS, 2023, 83 (02) : 553 - 575
[45] Multiscale numerical method for nonlinear Maxwell equations
Colin, T
Nkonga, B
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2005, 5 (03): : 631 - 658
[46] Integrability and optical solitons in a generalized variable-coefficient coupled Hirota-Maxwell-Bloch system in fiber optics
Xue, Yu-Shan
Tian, Bo
Ai, Wen-Bao
Li, Min
Wang, Pan
OPTICS AND LASER TECHNOLOGY, 2013, 48 : 153 - 159
[47] Initial-Boundary Value Problem for the Maxwell-Bloch Equations with an Arbitrary Inhomogeneous Broadening and Periodic Boundary Function
Filipkovska, Maria
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2023, 19
[48] Polarization Waves in Nonlinear Fiber Optics.
Kozlov, V. V.
Wabnitz, S.
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
[49] Nonlinear waves in optics and ultracold atomic gases
Carpentier, A. V.
Fernandez-Novoa, J. A.
Gomez-Cid, M.
Martinez-Valado, M.
Michinel, H.
Novoa, D.
Salgueiro, J. R.
Tommasini, D.
OPTICA PURA Y APLICADA, 2011, 44 (03): : 511 - 517
[50] Oscillating solitons in nonlinear optics
Lin, Xiao-Gang
Liu, Wen-Jun
Lei, Ming
PRAMANA-JOURNAL OF PHYSICS, 2016, 86 (03): : 575 - 580

← 1 2 3 4 5 →