Perturbation of shallow water waves by semi-inverse variational principle

2013 ◽  
Vol 87 (6) ◽  
pp. 567-569 ◽  
Author(s):  
A. Biswas ◽  
D. M. Milovic ◽  
S. Kumar ◽  
A. Yildirim
Keyword(s):  
Variational Principle ◽  
Shallow Water ◽  
Water Waves ◽  
Shallow Water Waves

scholarly journals Variational principle of the Whitham-Broer-Kaup equation in shallow water wave with fractal derivatives

2021 ◽  
pp. 19-19
Author(s):  
Wei-Wei Ling ◽  
Pin-Xia Wu
Keyword(s):  
Variational Principle ◽  
Shallow Water ◽  
Solitary Waves ◽  
Water Waves ◽  
Water Wave ◽  
Variational Formulation ◽  
Inverse Method ◽  
Solution Structure ◽  
Shallow Water Waves ◽  
Fractal Space

The Whitham-Broer-Kaup equation exists widely in shallow water waves, but unsmooth boundary seriously affects the properties of solitary waves and has certain deviations in scientific research. The aim of this paper is to introduce its modification with fractal derivatives in a fractal space and to establish a fractal variational formulation by the semi-inverse method. The obtained fractal variational principle shows conservation laws in an energy form in the fractal space and also hints its possible solution structure.

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

scholarly journals Diverse novel analytical and semi-analytical wave solutions of the generalized (2+1)-dimensional shallow water waves model

AIP Advances ◽  
2021 ◽  
Vol 11 (1) ◽  
pp. 015223
Author(s):  
Yuming Chu ◽  
Mostafa M. A. Khater ◽  
Y. S. Hamed
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Shallow Water Waves ◽  
Wave Solutions

scholarly journals Active-subspace analysis of exceedance probability for shallow-water waves

2021 ◽  
Vol 126 (1) ◽  
Author(s):  
Kenan Šehić ◽  
Henrik Bredmose ◽  
John D. Sørensen ◽  
Mirza Karamehmedović
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Exceedance Probability ◽  
Subspace Analysis ◽  
Shallow Water Waves ◽  
Active Subspace

scholarly journals Shallow water waves in a rotating rectangular basin

2000 ◽  
Vol 24 (10) ◽  
pp. 649-661 ◽  
Author(s):  
Mohamed Atef Helal
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Equations Of Motion ◽  
System Of Nonlinear Equations ◽  
System Of Equations ◽  
Order Of Approximation ◽  
Shallow Water Waves ◽  
Nonlinear System Of Equations ◽  
Rectangular Basin ◽  
Shallow Water Approximation

This paper is mainly concerned with the motion of an incompressible fluid in a slowly rotating rectangular basin. The equations of motion of such a problem with its boundary conditions are reduced to a system of nonlinear equations, which is to be solved by applying the shallow water approximation theory. Each unknown of the problem is expanded asymptotically in terms of the small parameterϵwhich generally depends on some intrinsic quantities of the problem of study. For each order of approximation, the nonlinear system of equations is presented successively. It is worthy to note that such a study has useful applications in the oceanography.

Sign in / Sign up

Export Citation Format

Share Document