Periodic standing waves in the focusing nonlinear Schrodinger equation: Rogue waves and modulation instability

被引：56
|
作者：
Chen, Jinbing [1 ]
Pelinovsky, Dmitry E. [2 ,3 ]
White, Robert E. [2 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[2] McMaster Univ, Dept Math, Hamilton, ON L8S 4K1, Canada
[3] Inst Appl Phys RAS, Nizhnii Novgorod 603950, Russia
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2020年 / 405卷
基金：
中国国家自然科学基金; 俄罗斯科学基金会;
关键词：
Periodic standing waves; Modulation instability and rogue waves; FINITE-GAP METHOD; INTEGRABLE TURBULENCE; NLS; SOLITONS;
D O I：
10.1016/j.physd.2020.132378
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present exact solutions for rogue waves arising on the background of periodic standing waves in the focusing nonlinear Schrodinger equation. The exact solutions are obtained by characterizing the Lax spectrum related to the periodic standing waves and by using the one-fold Darboux transformation. The magnification factor of the rogue waves is computed in the closed analytical form. We relate the rogue wave solutions to the modulation instability of the background of the periodic standing waves. (C) 2020 Elsevier B.V. All rights reserved.
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页数：13
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