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A study of the boussinesq equation as a wave propagation in shallow water

April 2016

DOI:10.13140/RG.2.1.1097.0000

Authors:

Fuaada Mohd Siam

Universiti Teknologi Malaysia

Shallow water waves has been expressed as a couple of equations by Whitham (1967).Many researchers have continued studies in this field by deriving the so-called Boussinesq equations. A straight forward derivation from the Whitham'shallow water equestions shall immediately produced a coupled form of Boussinesq equations. In this paper we use the Lagrange coordinates in order to derive the single Boussinesq equation to represent wave motion on the surface of shallow water. We shall also discuss its solution by using the ...

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