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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 December 1999

Invariant Solutions for Soil Water Equations

and
1
Institute for Symmetry Analysis and Mathematical Modelling, University of North-West, Private Bag X2046, Mmabatho 2735, South Africa
2
Department of Mathematical Sciences, University of North-West, Private Bag X2046, Mmabatho 2735, South Africa
*
Author to whom correspondence should be addressed.

Abstract

We obtain exact solutions for a class of nonlinear partial differential equations which models soil water infiltration and redistribution in a bedded soil profile irrigated by a drip irrigation system. The solutions obtained are invariant under two parameter symmetry groups.

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