Rogue Waves of the Higher-Order Dispersive Nonlinear Schrodinger Equation

被引：32

作者：

Wang Xiao-Li ^{[1
]}

Zhang Wei-Guo ^{[1
]}

Zhai Bao-Guo ^{[1
]}

Zhang Hai-Qiang ^{[1
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, POB 253, Shanghai 200093, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2012年 / 58卷 / 04期

基金：

中国国家自然科学基金;

关键词：

rogue wave; higher-order dispersive nonlinear Schrodinger equation; modified Darboux transformation; SOLITON;

D O I：

10.1088/0253-6102/58/4/15

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the rogue waves of the higher-order dispersive nonlinear Schrodinger (HDNLS) equation are investigated, which describes the propagation of ultrashort optical pulse in optical fibers. The rogue wave solutions of HDNLS equation are constructed by using the modified Darboux transformation method. The explicit first and second-order rogue wave solutions are presented under the plane wave seeding solution background. The nonlinear dynamics and properties of rogue waves are discussed by analyzing the obtained rational solutions. The influence of little perturbation on the rogue waves is discussed with the help of graphical simulation.

引用

页码：531 / 538

页数：8

共 30 条

[1]

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

[2] Waves that appear from nowhere and disappear without a trace [J].

Akhmediev, N. ;

Ankiewicz, A. ;

Taki, M. .

PHYSICS LETTERS A, 2009, 373 (06) :675-678

[3]

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

[4] Rogue wave early warning through spectral measurements? [J].

Akhmediev, Nail ;

Ankiewicz, Adrian ;

Soto-Crespo, J. M. ;

Dudley, John M. .

PHYSICS LETTERS A, 2011, 375 (03) :541-544

[5] 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)

[6] EXACT 1ST-ORDER SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION [J].

AKHMEDIEV, NN ;

ELEONSKII, VM ;

KULAGIN, NE .

THEORETICAL AND MATHEMATICAL PHYSICS, 1987, 72 (02) :809-818

[7] EXTREMELY HIGH DEGREE OF N-SOLITON PULSE-COMPRESSION IN AN OPTICAL FIBER [J].

AKHMEDIEV, NN ;

MITZKEVICH, NV .

IEEE JOURNAL OF QUANTUM ELECTRONICS, 1991, 27 (03) :849-857

[8]

AKHMEDIEV NN, 1985, ZH EKSP TEOR FIZ+, V89, P1542

[9] Rogue wave triplets [J].

Ankiewicz, Adrian ;

Kedziora, David J. ;

Akhmediev, Nail .

PHYSICS LETTERS A, 2011, 375 (28-29) :2782-2785

[10] Are rogue waves robust against perturbations? [J].

Ankiewicz, Adrian ;

Devine, N. ;

Akhmediev, Nail .

PHYSICS LETTERS A, 2009, 373 (43) :3997-4000

← 1 2 3 →