Rogue wave solutions of the vector Lakshmanan-Porsezian-Daniel equation

被引:20
作者
Ye, Yanlin [1 ]
Hou, Chong [1 ]
Cheng, Dandan [1 ]
Chen, Shihua [1 ]
机构
[1] Southeast Univ, Sch Phys, Nanjing 211189, Peoples R China
基金
中国国家自然科学基金;
关键词
Rogue wave; Darboux transformation; Modulation instability; PEREGRINE SOLITON; OPTICAL PULSES; MECHANISMS; FIBERS;
D O I
10.1016/j.physleta.2019.126226
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We use a non recursive Darboux transformation method to obtain a special hierarchy of rogue wave solutions of the vector Lakshmanan-Porsezian-Daniel equation, which can govern the propagation of ultrashort optical pulses in a long-haul telecommunication fiber. In terms of the exact rational solutions, we demonstrate several interesting rogue wave dynamics such as rogue wave doublets, quartets and sextets. The modulation instability responsible for the excitation of rogue waves from an unstable continuous background in such a complex nonlinear system is also discussed. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数:6
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