Comments on paper by R. J. Lai and O. H. Shemdin, ‘Laboratory investigation of air turbulence above simple water waves’

Among the compliant platforms, TLP is a vertically moored structure with excess buoyancy, used for deep water oil exploration. In this structure tethers can be tensioned to such an extent that heave, roll and pitch motions of the platform induced by ocean waves are virtually eliminated. SeaStar is new generation of mini tension leg platforms which is similar to a spar and has favorable response features of a TLP. This paper illustrates the results of experimental work performed on a 1/100 scaled model of SeaStar TLP in a wave flume. The investigation refers to the induced tension in different tendons of the model and the motion response behaviour of the model on different degrees of freedom under several directional impinging regular water waves. The results are presented in the frequency domain and the response amplitude operator for each motion of the platform has been calculated.

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Mean Flux in the Tree Surface Zone of Water Waves in a Closed Wave Flume

Coastal Engineering 1994 ◽

10.1061/9780784400890.008 ◽

1995 ◽

Author(s):

Witold Cieślikiewicz ◽

Ove T. Gudmestad

Keyword(s):

Water Waves ◽

Surface Zone ◽

Wave Flume

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Time and Frequency Domain Analyses of Shallow Water Waves on a Slope

Coastal Engineering 1990 ◽

10.1061/9780872627765.024 ◽

1991 ◽

Author(s):

D H Swart ◽

J B Crowley

Keyword(s):

Shallow Water ◽

Frequency Domain ◽

Water Waves ◽

Shallow Water Waves

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On the Exact Soliton Solutions of Some Nonlinear PDE by Tan-Cot Method

GUB Journal of Science and Engineering ◽

10.3329/gubjse.v5i1.47898 ◽

2018 ◽

Vol 5 (1) ◽

pp. 31-36

Author(s):

Md Monirul Islam ◽

Muztuba Ahbab ◽

Md Robiul Islam ◽

Md Humayun Kabir

Keyword(s):

Solitary Wave ◽

Acoustic Waves ◽

Water Waves ◽

Wave Equations ◽

Rectangular Channel ◽

Soliton Solutions ◽

Boussinesq Equations ◽

Travelling Wave ◽

Ion Acoustic Waves ◽

Analytical System

For many solitary wave applications, various approximate models have been proposed. Certainly, the most famous solitary wave equations are the K-dV, BBM and Boussinesq equations. The K-dV equation was originally derived to describe shallow water waves in a rectangular channel. Surprisingly, the equation also models ion-acoustic waves and magneto-hydrodynamic waves in plasmas, waves in elastic rods, equatorial planetary waves, acoustic waves on a crystal lattice, and more. If we describe all of the above situation, we must be needed a solution function of their governing equations. The Tan-cot method is applied to obtain exact travelling wave solutions to the generalized Korteweg-de Vries (gK-dV) equation and generalized Benjamin-Bona- Mahony (BBM) equation which are important equations to evaluate wide variety of physical applications. In this paper we described the soliton behavior of gK-dV and BBM equations by analytical system especially using Tan-cot method and shown in graphically. GUB JOURNAL OF SCIENCE AND ENGINEERING, Vol 5(1), Dec 2018 P 31-36

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Extended F-Expansion Method for Solving the modified Korteweg-de Vries (mKdV) Equation

Al-Jabar Jurnal Pendidikan Matematika ◽

10.24042/ajpm.v11i1.5153 ◽

2020 ◽

Vol 11 (1) ◽

pp. 93-100

Author(s):

Vina Apriliani ◽

Ikhsan Maulidi ◽

Budi Azhari

Keyword(s):

Wave Equation ◽

Exact Solutions ◽

Internal Waves ◽

Water Waves ◽

Wave Equations ◽

Elliptic Functions ◽

Expansion Method ◽

Mkdv Equation ◽

Innovative Methods ◽

De Vries

One of the phenomenon in marine science that is often encountered is the phenomenon of water waves. Waves that occur below the surface of seawater are called internal waves. One of the mathematical models that can represent solitary internal waves is the modified Korteweg-de Vries (mKdV) equation. Many methods can be used to construct the solution of the mKdV wave equation, one of which is the extended F-expansion method. The purpose of this study is to determine the solution of the mKdV wave equation using the extended F-expansion method. The result of solving the mKdV wave equation is the exact solutions. The exact solutions of the mKdV wave equation are expressed in the Jacobi elliptic functions, trigonometric functions, and hyperbolic functions. From this research, it is expected to be able to add insight and knowledge about the implementation of the innovative methods for solving wave equations.

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