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Computational study of some nonlinear shallow water equations

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Central European Journal of Physics

Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Ali H. Bhrawy

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

    Ali H. Bhrawy & Mohamed A. Abdelkawy

Authors
  1. Ali H. Bhrawy
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  2. Mohamed A. Abdelkawy
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Correspondence to Mohamed A. Abdelkawy.

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Bhrawy, A.H., Abdelkawy, M.A. Computational study of some nonlinear shallow water equations. centr.eur.j.phys. 11, 518–525 (2013). https://doi.org/10.2478/s11534-013-0197-1

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  • DOI: https://doi.org/10.2478/s11534-013-0197-1

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