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Dynamics of shallow water waves with Boussinesq equation
Journal article   Open access  Peer reviewed

Dynamics of shallow water waves with Boussinesq equation

A.J.M. Jawad, M.D. Petković, P. Laketa and A. Biswas
Scientia Iranica, Vol.20(1), pp.179-184
01/02/2013

Abstract

1-soliton solution Boussinesq equations Exact solutions Nonlinear PDEs Tanh method
This paper obtains the solitary wave solutions of two different forms of Boussinesq equations that model the study of shallow water waves in lakes and ocean beaches. The tanh method is applied to solve the governing equations. The travelling wave hypothesis is also utilized to solve the generalized case of coupled Boussinesq equations, and, thus, an exact 1-soliton solution is obtained. The results are also supported by numerical simulations.
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https://doi.org/10.1016/j.scient.2012.12.011View
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