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

被引：26

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

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