Va. Baikov et al., WATER REDISTRIBUTION IN IRRIGATED SOIL PROFILES - INVARIANT SOLUTIONSOF THE GOVERNING EQUATION, Nonlinear dynamics, 13(4), 1997, pp. 395-409
Exact solutions for a class of nonlinear partial differential equation
s modelling soil water infiltration and redistribution in irrigation s
ystems are studied. These solutions are invariant under two-parameter
symmetry groups obtained by the group classification of the governing
equation. A general procedure for constructing invariant solutions is
presented in a way convenient for investigating numerous new exact sol
utions.