In this article, the abundant wave solutions of Boussinesq equations are obtained, which are
very important to investigate the waves propagation of shallow water. Firstly, we establish …

The Boussinesq equation is usually used to describe one-dimensional unconfined
groundwater movement. Solutions of this equation are important as they provide useful …

We construct approximate analytical solutions of the Boussinesq equation for horizontal
unconfined aquifers in the buildup phase under constant recharge and zero-inflow …

A generalized Boussinesq equation, the porous medium equation, was analyzed for a semi‐
infinite initially dry unconfined aquifer. The boundary conditions were a power‐law head …

As the coastal region is the most developed region in China, an increasing number of
engineering projects are under construction in it in recent years. However, the quality of …

This paper presents a method for constructing polynomial-based approximate solutions to
the Boussinesq equation with cylindrical symmetry. This equation models water injection at …

With reservoir drawdown, the groundwater table in the adjacent aquifer falls down
correspondingly. It is useful to calculate the groundwater table variation as a function of time …

We consider a one-dimensional, unconfined groundwater flow equation for the horizontal
propagation of water. This equation was derived by using a particular form of the …

For certain initial and boundary conditions the Boussinesq equation, a nonlinear partial
differential equation describing the flow of water in unconfined aquifers, can be reduced to a …

Purpose–The purpose of this paper is to provide closed-form approximate solutions to the
one-dimensional Boussinesq equation for a semi-infinite aquifer when the hydraulic head at …