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This paper is devoted to the analysis of the two-layer shallow-water equations representing gravity currents. A similarity technique which is the characteristic function method is applied for this study. The application of the characteristic function method makes it possible to obtain the similarity forms depending on a group of infinitesimal transformations. Thus, the number of independent variables is reduced by one and the governing partial differential equations with the auxiliary conditions reduce to a system of ordinary differential equations with the appropriate auxiliary conditions. Numeric solutions are presented and discussed.

KEYWORDS

The Characteristic Function Method; The Two-Layer Shallow-Water Equations; Gravity Currents

Cite this paper

M. Kassem, M. Helal, M. Mekky and E. Mohamed -A Similarity Technique for Solving Two-Layer Shallow-Water Equations,- Applied Mathematics, Vol. 3 No. 4, 2012, pp. 315-321. doi: 10.4236-am.2012.34047.





Autor: Magda M. Kassem, Medhat M. Helal, Mohammad L. Mekky, Emad A. Mohamed

Fuente: http://www.scirp.org/



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