The purpose of this work is to perform group classification a coupled system partial differential equations (PDEs) modeling flow in collapsible tubes. This PDEs contains unknown functions the dependent variables whose forms are specified via with respect subalgebras real three and four-dimensional Lie algebras.

The collapsible loess is widely distributed in western China. special structure and water sensitivity of lead to the complex negative skin friction mechanism pile foundations. Previous studies mainly focused on foundations treatment measures, such as casing coating methods. However, few have influence settlement bearing capacity piles loess, especially environmentally friendly methods that can ...

The soils which show very high shear strength in a dry state but rapidly lose their on wetting are known as collapsible soils. Such rapid and massive loss of produces severe distress leading to extensive cracking differential settlements, instability building foundations, even collapse structures built these Waste marble dust is an industrial byproduct being produced large quantities globally p...