Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrodinger equation

被引：15

作者：

Zhang, Guoqiang ^{[1
]}

Ling, Liming ^{[2
]}

Yan, Zhenya ^{[3
,4
]}

Konotop, Vladimir V. ^{[5
,6
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China

[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

[5] Univ Lisbon, Fac Ciencias, Dept Fis, Edificio C8, P-1749016 Lisbon, Portugal

[6] Univ Lisbon, Ctr Fis Teor & Computac, Edificio C8, P-1749016 Lisbon, Portugal

来源：

CHAOS | 2021年 / 31卷 / 06期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

SOLITON; INSTABILITY; MECHANISMS; COHERENT; WATER; FIBER;

D O I：

10.1063/5.0048922

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Extreme events are investigated in the integrable n-component nonlinear Schrodinger (NLS) equation with focusing nonlinearity. We report novel multi-parametric families of rational vector rogue wave (RW) solutions featuring the parity-time (PT) symmetry, which are characterized by non-identical boundary conditions for the components that are consistent with the degeneracy of n branches of Benjamin-Feir instability. Explicit examples of PT-symmetric rational vector RWs are presented. Subject to the specific choice of the parameters, high-amplitude RWs are generated. The effect of a small non-integrable deformation of the 3-NLS equation on the excitation of vector RWs is discussed. The reported results can be useful for the design of experiments for observation of high-amplitude RWs in multi-component nonlinear physical systems. Published under an exclusive license by AIP Publishing.

引用

页数：9

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