Computational study of some nonlinear shallow water equations

• Authors: Ali Bhrawy , Mohamed Abdelkawy
• Languages of publication: EN

Abstracts

EN

The shallow water equations have wide applications in ocean, atmospheric modeling and hydraulic engineering, also they can be used to model flows in rivers and coastal areas. In this article we obtained exact solutions of three equations of shallow water by using $\frac{{G'}}
{G}
$-expansion method. Hyperbolic and triangular periodic solutions can be obtained from the $\frac{{G'}}
{G}
$-expansion method.

Keywords

EN

$\frac{{G'}}{G}$-expansion method; nonlinear physical phenomena; nonlinear shallow water equations; time dependent nonlinear system of shallow water

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 4
• Pages: 518-525

Dates

published

1 - 4 - 2013

online

22 - 5 - 2013

Contributors

author

Ali Bhrawy

author

Mohamed Abdelkawy

• Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, 62511, Egypt

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Identifiers

DOI

10.2478/s11534-013-0197-1