The height of an nth-order fundamental rogue wave for the nonlinear Schrodinger equation

被引：27

作者：

Wang, Lihong ^{[1
,2
]}

Yang, Chenghao ^{[2
]}

Wang, Ji ^{[1
]}

He, Jingsong ^{[3
]}

机构：

[1] Ningbo Univ, Sch Mech Engn & Mech, Ningbo, Zhejiang, Peoples R China

[2] SOA, Inst Oceanog 2, State Key Lab Satellite Ocean Environm Dynam, Qingdao, Peoples R China

[3] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

PHYSICS LETTERS A | 2017年 / 381卷 / 20期

关键词：

Rogue wave; Nonlinear Schrodinger equation; Darboux transformation; DARBOUX TRANSFORMATION; MODULATION INSTABILITY; BREATHERS; OPTICS; HIERARCHY; SYSTEM; NLS;

D O I：

10.1016/j.physleta.2017.03.023

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The height of an nth-order fundamental rogue wave q(rw)([n]) for the nonlinear Schrodinger equation, namely (2n + 1)c, is proved directly by a series of row operations on matrices appeared in the n-fold Darboux transformation. Here the positive constant c denotes the height of the asymptotical plane of the rogue wave. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1714 / 1718

页数：5

共 56 条

[1]

Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering

[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] 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)

[4] Rogue wave triplets [J].

Ankiewicz, Adrian ;

Kedziora, David J. ;

Akhmediev, Nail .

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

[5] 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)

[6] Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime [J].

Baronio, Fabio ;

Conforti, Matteo ;

Degasperis, Antonio ;

Lombardo, Sara ;

Onorato, Miguel ;

Wabnitz, Stefan .

PHYSICAL REVIEW LETTERS, 2014, 113 (03)

[7] Intense few-cycle laser fields: Frontiers of nonlinear optics [J].

Brabec, T ;

Krausz, F .

REVIEWS OF MODERN PHYSICS, 2000, 72 (02) :545-591

[8] Observation of a hierarchy of up to fifth-order rogue waves in a water tank [J].

Chabchoub, A. ;

Hoffmann, N. ;

Onorato, M. ;

Slunyaev, A. ;

Sergeeva, A. ;

Pelinovsky, E. ;

Akhmediev, N. .

PHYSICAL REVIEW E, 2012, 86 (05)

[9] Vector rogue waves in the Manakov system: diversity and compossibility [J].

Chen, Shihua ;

Mihalache, Dumitru .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (21)

[10] SELF-TRAPPING OF OPTICAL BEAMS [J].

CHIAO, RY ;

GARMIRE, E ;

TOWNES, CH .

PHYSICAL REVIEW LETTERS, 1964, 13 (15) :479-&

← 1 2 3 4 5 6 →