Rogue waves on the double-periodic background in the focusing nonlinear Schrodinger equation

被引：89

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 L85 4K1, Canada

[3] RAS, Inst Appl Phys, Nizhnii Novgorod 603950, Russia

来源：

PHYSICAL REVIEW E | 2019年 / 100卷 / 05期

基金：

中国国家自然科学基金; 俄罗斯科学基金会;

关键词：

FINITE-GAP METHOD; INTEGRABLE TURBULENCE; INSTABILITY; MODULATION; AMPLITUDES;

D O I：

10.1103/PhysRevE.100.052219

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The double-periodic solutions of the focusing nonlinear Schrodinger equation have been previously obtained by the method of separation of variables. We construct these solutions by using an algebraic method with two eigenvalues. Furthermore, we characterize the Lax spectrum for the double-periodic solutions and analyze rogue waves arising on the background of such solutions. Magnification of the rogue waves is studied numerically.

引用

页数：18

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