A higher-order coupled nonlinear Schrodinger system: solitons, breathers, and rogue wave solutions

被引：55

作者：

Guo, Rui ^{[1
]}

Zhao, Hui-Hui ^{[1
]}

Wang, Yuan ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China

[2] Shanxi Coal Min Adm Coll, Dept Math, Taiyuan 030600, Peoples R China

来源：

NONLINEAR DYNAMICS | 2016年 / 83卷 / 04期

基金：

山西省青年科学基金; 中国国家自然科学基金;

关键词：

A higher-order coupled nonlinear Schrodinger system; Soliton; Darboux transformation; Rogue waves; Breathers; MODULATIONAL INSTABILITY; OPTICAL SOLITONS; TRANSFORMATION; EQUATIONS;

D O I：

10.1007/s11071-015-2495-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Under investigation in this paper is a generalized coupled nonlinear Schrodinger system with higher-order terms, which describes the propagation properties of ultrashort solitons in two ultrashort optical fields. Based on the 33 lax pair, the N-fold Darboux transformation (DT) has been constructed. Several kinds of solitons, breathers, and rogue wave solutions are generated on the vanishing and nonvanishing backgrounds by virtue of the DT. Figures are plotted to reveal the dynamic features of those solutions: (1) elastic interactions between two solitons; (2) mutual attractions and repulsions of bound solitons; (3) propagation properties of Ma-breathers, Akhmediev breathers, two-breathers, and rogue waves. The results show that the rogue waves can result from two different ways: the limit process of Ma-breathers and Akhmediev breathers.

引用

页码：2475 / 2484

页数：10

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