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