Two-dimensional localized Peregrine solution and breather excited in a variable-coefficient nonlinear Schrodinger equation with partial nonlocality

被引：162

作者：

Dai, Chao-Qing ^{[1
]}

Liu, Jiu ^{[1
]}

Fan, Yan ^{[1
]}

Yu, Ding-Guo ^{[1
]}

机构：

[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China

来源：

NONLINEAR DYNAMICS | 2017年 / 88卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Localized Peregrine solution and breather solution; Nonlinear Schrodinger equation; Partial nonlocality; OPTICAL ROGUE WAVES; SUPERCONTINUUM GENERATION; POTENTIALS; SOLITON;

D O I：

10.1007/s11071-016-3316-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Hierarchies of Peregrine solution and breather solution are derived in a (2+1)-dimensional variable-coefficient nonlinear Schrodinger equation with partial nonlocality. Based on these solutions, we study the control of the excitation of Peregrine solution and breather solution in different planes. In particular, the localized Peregrine solution and breather solution are firstly reported in two-dimensional space. It is expected that our analysis and results may give new insight into higher-dimensional localized rogue waves in nonlocal media.

引用

页码：1373 / 1383

页数：11

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