scholarly journals Breather Rogue Waves in Random Seas

2018 ◽  
Vol 9 (1) ◽  
Author(s):  
J. Wang ◽  
Q. W. Ma ◽  
S. Yan ◽  
A. Chabchoub
Keyword(s):  
2021 ◽  
Author(s):  
Zhuowei Zhou ◽  
Ningchuan Zhang ◽  
Guoxing Huang

Author(s):  
Yuxiang Ma ◽  
Ruili Fu ◽  
Guohai Dong ◽  
Qiannan Du

Freak waves, also called rogue waves and giant waves, are much larger and steeper than the surrounding waves, can cause severe accidents, and can be formed in both coastal and offshore regions. The past researchers on freak waves in coastal regions are mainly focused on the statistical properties, and the generation mechanism of such large waves are not yet discussed intensively. The aim of the present study is to examine the generation process of freak waves in unidirectional propagating random waves over a submerged bar using a fully nonlinear numerical wave model, SWASH. It was found that freak waves are readily formed at the seaward part of the crest of the bar and gradually emerged from an intense wave group. The enhancement of the bound higher harmonics in the shoaling process is the main reason to form such large waves in shallow water. On the crest bar of the bathymetry, the extreme wave gradually vanished, mainly due to the releasing of bound higher-harmonics to free wave components.


2021 ◽  
Author(s):  
Zhuowei Zhou ◽  
Ningchuan Zhang ◽  
Guoxing Huang

Author(s):  
Wei Tan ◽  
Zhao-Yang Yin

Abstract The parameter limit method on the basis of Hirota’s bilinear method is proposed to construct the rogue wave solutions for nonlinear partial differential equations (NLPDEs). Some real and complex differential equations are used as concrete examples to illustrate the effectiveness and correctness of the described method. The rogue waves and homoclinic solutions of different structures are obtained and simulated by three-dimensional graphics, respectively. More importantly, we find that rogue wave solutions and homoclinic solutions appear in pairs. That is to say, for some NLPDEs, if there is a homoclinic solution, then there must be a rogue wave solution. The twin phenomenon of rogue wave solutions and homoclinic solutions of a class of NLPDEs is discussed.


2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Lijuan Guo ◽  
Jingsong He ◽  
Lihong Wang ◽  
Yi Cheng ◽  
D. J. Frantzeskakis ◽  
...  
Keyword(s):  

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