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
收藏
页码：1714 / 1718
页数：5
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