Rogue waves of the fifth-order Ito equation on the general periodic travelling wave solutions background

被引:0
|
作者
Hai-Qiang Zhang
Fa Chen
Zhi-Jie Pei
机构
[1] University of Shanghai for Science and Technology,College of Science
来源
Nonlinear Dynamics | 2021年 / 103卷
关键词
Rogue waves; Jacobian elliptic function; Fifth-order Ito equation; Darboux transformation; Periodic travelling waves;
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学科分类号
摘要
In this paper, on the background of general periodic travelling wave solutions, we construct rogue wave solutions of the fifth-order Ito equation. In particular, those solutions cover the known results in the literature. By means of the Darboux transformation, we derive one-, two- and three-fold rogue wave solutions on the periodic travelling wave solutions background. We provide several illustrations of such rogue waves and analyze their generation mechanisms.
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页码:1023 / 1033
页数:10
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