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

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 rog...

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Bibliographic Details
Published in:Nonlinear dynamics 2021, Vol.103 (1), p.1023-1033
Main Authors: Zhang, Hai-Qiang, Chen, Fa, Pei, Zhi-Jie
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Traveling waves
Vibration
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-020-06153-w