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Water Redistribution in Irrigated Soil Profiles: Invariant Solutions of the Governing Equation

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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.

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Authors and Affiliations

  1. Ufa State Aviation Technical University, 12 K. Marx st., Ufa, 450025, Russia

    V. A. Baikov

  2. Department of Computational and Applied Mathematics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa

    R. K. Gazizov & N. H. Ibragimov

  3. Institute for Mathematical Modeling, 4-A Miusskaya sq., Moscow, 125047, Russia

    V. F. Kovalev

Authors
  1. V. A. Baikov
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  2. R. K. Gazizov
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  3. N. H. Ibragimov
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  4. V. F. Kovalev
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Baikov, V.A., Gazizov, R.K., Ibragimov, N.H. et al. Water Redistribution in Irrigated Soil Profiles: Invariant Solutions of the Governing Equation. Nonlinear Dynamics 13, 395–409 (1997). https://doi.org/10.1023/A:1008209125329

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  • DOI: https://doi.org/10.1023/A:1008209125329

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