SOME INVARIANT SOLUTIONS FOR UNSATURATED FLOW MODELS WITH PLANT ROOT EXTRACTION

Abstract

Using two parameter symmetry groups we shall obtain exact (invariant) solutions for a class of non-linear partial differential equations which models soil water infiltration and redistribution in a bedded soil profile irrigated by a drip irrigation system. Studying of such solutions is important from the agricultural point of view because the solution will help to determine the irrigation input while optimizing the production returns.