Characteristics of the nonautonomous breathers and rogue waves in a generalized Lenells-Fokas equation
Characteristics of the nonautonomous breathers and rogue waves in a generalized Lenells-Fokas equation
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广义 Lenells-Fokas 方程中非自主呼吸和流氓波的特征
DOI：
10.1209/0295-5075/108/50009
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发表时间：
2014-12
期刊：
影响因子：
--
通讯作者：
Yin-Chuan Zhao
中科院分区：
文献类型：
--
作者：
Lei Wang;Chao Geng;Lu-Lu Zhang;Yin-Chuan Zhao
本文利用改进的Darboux变换研究了非自治Lenells-Fokas （LF）模型。给出了呼吸波和异常波等非自治LF模型的解析解。结果表明，呼吸速度与时间有关。对周期异常涌浪、复合异常涌浪和振荡异常涌浪的动力学进行了图解讨论。此外，我们观察到，通过适当选择非均匀函数，呼吸波演变为暗孤立波，而流氓波演变为明亮波。本文的研究结果对光纤通信实验设计具有一定的参考价值。
In this paper, the nonautonomous Lenells-Fokas (LF) model is investigated with the modified Darboux transformation. Such analytical solutions of the nonautonomous LF model as the breather and rogue wave are presented. It is found that the breather velocity is time dependent. The dynamics of the periodic rogue wave, composite rogue waves and oscillating rogue wave is graphically discussed. Additionally, we observe that the breather evolves into a dark solitary wave while the rogue wave becomes a bright one by proper choices of the inhomogeneous functions. Our results could be useful for the design of experiments in the optical-fiber communications.
三个波的共振相互作用产生的流氓波。
影响因子：
8.6
作者：
Baronio F
通讯作者：
Baronio F
DOI：
10.1088/1751-8113/45/37/374008
发表时间：
2012-09
期刊：
Journal of Physics A: Mathematical and Theoretical
影响因子：
--
作者：
F. Williams
通讯作者：
F. Williams