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

Isa, Mukheta and Mohd. Siam, Fuaada and Mat Isa, Zaiton and Mohamed, Zamzulani (2005) A study of the boussinesq equation as a wave propagation in shallow water. Project Report. Universiti Teknologi Malaysia. (Unpublished)

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Abstract

Shallow water waves has been expressed as a couple of equations by Whitham (1967). amny 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 Hirota bilinear method and the KP hierarchy of equestions.

Item Type:Monograph (Project Report)
Uncontrolled Keywords:boussinesq equation, wave propagation, shallow water
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:3022
Deposited By: Nor Azlin Nordin
Deposited On:22 May 2007 07:09
Last Modified:19 Sep 2012 04:51

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