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

• 作者: Emad A. Mohamed Magda M. Kassem Medhat M. Helal Mohammad L. Mekky
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: The Characteristic Function Method The Two-Layer SHALLOW-WATER EQUATIONS GRAVITY CURRENTS
• 年，卷（期）: 2012,（4）
• 页码范围: 315-321
• 页数: 7页
• 分类号: O1

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.