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A Similarity Technique for Solving Two-Layer Shallow-Water Equations

A Similarity Technique for Solving Two-Layer Shallow-Water Equations

作     者:Magda M. Kassem Medhat M. Helal Mohammad L. Mekky Emad A. Mohamed 

作者机构:Department of Engineering Physics and Mathematics Faculty of Engineering Zagazig University Zagazig Egypt 

出 版 物:《Applied Mathematics》 (应用数学(英文))

年 卷 期:2012年第3卷第4期

页      面:315-321页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:The Characteristic Function Method The Two-Layer Shallow-Water Equations Gravity Currents 

摘      要: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.

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