Nonautonomous spatiotemporal localized structures in the inhomogeneous optical fibers: Interaction and control

被引：47

作者：

Dai, Chaoqing ^{[1
,2
]}

Wang, Xiaogang ^{[1
]}

Zhang, Jiefang ^{[1
,3
]}

机构：

[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China

[2] Suzhou Univ, Sch Phys Sci & Technol, Suzhou 215006, Jiangsu, Peoples R China

[3] Zhejiang Normal Univ, Inst Nonlinear Phys, Jinhua 321004, Zhejiang, Peoples R China

来源：

ANNALS OF PHYSICS | 2011年 / 326卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Schrodinger equation; Nonautonomous spatiotemporal localized structures; Interaction and control; NONLINEAR SCHRODINGER-EQUATION; MODULATION INSTABILITY; SOLITON INTERACTION; DARK SOLITONS; WAVES; SIMILARITONS; BRIGHT;

D O I：

10.1016/j.aop.2010.11.005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a systematic way to find the similarity transformation and investigate nonautonomous optical similariton dynamics for (n + 1)-dimensional nonlinear Schrodinger equation in the inhomogeneous optical fibers. A condition between the parameters of the mediums, which hints a exact balance between the dispersion/diffraction, nonlinearity and the gain/loss, has been obtained. Under this condition the optical similariton transmission in the dispersion-decreasing fibers (DDF) can be exactly controlled by proper dispersion management. Moreover, novel propagation dynamics of bright and dark similaritons on the background waves and optical rogue waves (rogons) in DDF are investigated too. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：645 / 656

页数：12

共 47 条

[1] Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length [J].

Adhikari, SK .

PHYSICAL REVIEW A, 2004, 69 (06) :063613-1

[2]

Agrawal G. P., 2001, NONLINEAR FIBER OPTI, V3rd

[3] How to excite a rogue wave [J].

Akhmediev, N. ;

Soto-Crespo, J. M. ;

Ankiewicz, A. .

PHYSICAL REVIEW A, 2009, 80 (04)

[4] Extreme waves that appear from nowhere: On the nature of rogue waves [J].

Akhmediev, N. ;

Soto-Crespo, J. M. ;

Ankiewicz, A. .

PHYSICS LETTERS A, 2009, 373 (25) :2137-2145

[5]

Akhmediev N., 1997, Solitons: Nonlinear Pulses and Beams

[6] Rogue waves and rational solutions of the nonlinear Schroumldinger equation [J].

Akhmediev, Nail ;

Ankiewicz, Adrian ;

Soto-Crespo, J. M. .

PHYSICAL REVIEW E, 2009, 80 (02)

[7] MODULATION INSTABILITY AND PERIODIC-SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION [J].

AKHMEDIEV, NN ;

KORNEEV, VI .

THEORETICAL AND MATHEMATICAL PHYSICS, 1986, 69 (02) :1089-1093

[8] Cnoidal waves compression by means of multisoliton effect [J].

Aleshkevich, V ;

Kartashov, Y ;

Vysloukh, V .

OPTICS COMMUNICATIONS, 2000, 185 (4-6) :305-314

[9] Rogue waves and rational solutions of the Hirota equation [J].

Ankiewicz, Adrian ;

Soto-Crespo, J. M. ;

Akhmediev, Nail .

PHYSICAL REVIEW E, 2010, 81 (04)

[10] Rogue waves, rational solutions, the patterns of their zeros and integral relations [J].

Ankiewicz, Adrian ;

Clarkson, Peter A. ;

Akhmediev, Nail .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (12)

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