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Water Redistribution in Irrigated Soil Profiles: Invariant Solutions of the Governing Equation |
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| Authors: | Baikov V A Gazizov R K Ibragimov N H Kovalev V F |
| Institution: | (1) Ufa State Aviation Technical University, 12 K. Marx st., Ufa, 450025, Russia;(2) Department of Computational and Applied Mathematics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa;(3) Institute for Mathematical Modeling, 4-A Miusskaya sq., Moscow, 125047, Russia |
| Abstract: | Exact solutions for a class of nonlinear partial differential equations modelling soil water infiltration and redistribution in irrigation systems 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 solutions. |
| Keywords: | Soil water motion Lie group classification and symmetry analysis group theoretic modelling invariant solutions |
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