An analytical solution is developed for Richards equation for time‐varying infiltration. The
infiltration rates must be specified as piecewise constants with time. The answer is …

This book is an unique integrated treatise, on the concepts of fractional calculus as models
with applications in hydrology, soil science and geomechanics. The models are primarily …

Efforts to find solutions that can be used for verification of numerical techniques for solving
the Richards equation have generated a wealth of approximate and exact analytical …

An approximate analytical solution has been established for the well known Richards'
equation for unsaturated flow of transports in soils. Despite the importance of Richards' …

We study the motion of wetting fronts for vertical infiltration problems as modeled by
Richards' equation. Parlange and others have shown that wetting fronts in infiltration flows …

This paper presents the results of approximate analytical solutions to Richards' equation,
which governs the problem of unsaturated flow in porous media. The existing methods …

The aim of the concerned paper is to describe the behaviour of the water infiltration
problems in unsaturated soils. Governing equation of this phenomenon is known as …

Richards' equation (RE) constitutes the most used physically based formula for transient
infiltration modeling in unsaturated soils, and it can be solved by using analytical or …

It is shown that the complete exceptionality condition for discontinuity waves associated with
a second-order non-linear hyperbolic equation of the form u_u+ f (x_i, t, u, u_i u_u, u_ jk)= 0 …

This paper presents results using the Burgers equation in spherical coordinates for the
investigation of soil water dynamics around porous cup samplers under field conditions. The …