Optimal Systems and Invariant Solutions for a Class of Soil Water Equations

Khalique, C. K.

doi:10.3390/mca8020135

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Article

1 August 2003

7 Pages

Optimal Systems and Invariant Solutions for a Class of Soil Water Equations

Department of Mathematical Sciences and International Institute for Symmetry Analysis and Mathematical Modelling, University of NorthWest, Private Bag X 2046, Mmabatho 2735, South Africa

Math. Comput. Appl.2003, 8(2), 135-141;https://doi.org/10.3390/mca8020135

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Abstract

We construct an optimal system of one-dimensional subalgebras for a class of soil water equations and then use it to obtain an optimal system of two-dimensional subalgebras. We also present a few group-invariant solutions of rank one corresponding to an optimal system of two-dimensional subalgebras.

Keywords:

Optimal system; group-invariant solution; subalgebra

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