Wave breaking for a model equation for shallow water waves of moderate amplitude

2021 ◽  
Vol 19 (7) ◽  
pp. 1799-1807
Author(s):  
Shaojie Yang
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Wave Breaking ◽  
Model Equation ◽  
Shallow Water Waves

scholarly journals On the Multipeakon Dissipative Behavior of the Modified Coupled Camassa-Holm Model for Shallow Water System

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Zhixi Shen ◽  
Yujuan Wang ◽  
Hamid Reza Karimi ◽  
Yongduan Song
Keyword(s):  
Differential Equations ◽  
Energy Loss ◽  
Shallow Water ◽  
Water Waves ◽  
Wave Breaking ◽  
Water Wave ◽  
Water System ◽  
Shallow Water Waves ◽  
Two Component ◽  
Shallow Water System

This paper investigates the multipeakon dissipative behavior of the modified coupled two-component Camassa-Holm system arisen from shallow water waves moving. To tackle this problem, we convert the original partial differential equations into a set of new differential equations by using skillfully defined characteristic and variables. Such treatment allows for the construction of the multipeakon solutions for the system. The peakon-antipeakon collisions as well as the dissipative behavior (energy loss) after wave breaking are closely examined. The results obtained herein are deemed valuable for understanding the inherent dynamic behavior of shallow water wave breaking.

RESPONSE CHARACTERISTICS OF GRAVEL BEACH FROM THE VIEWPOINT OF SHALLOW WATER WAVES AND MOVEMENT OF GRAVELS

2020 ◽  
Vol 76 (2) ◽  
pp. I_565-I_570
Author(s):  
Shin-ichi AOKI ◽  
Tomoki HAMANO ◽  
Taishi NAKAYAMA ◽  
Eiichi OKETANI ◽  
Takahiro HIRAMATSU ◽  
...  
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Shallow Water Waves ◽  
Response Characteristics ◽  
Gravel Beach
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