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Article

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
Published: 1 August 2003

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 Optimal system; group-invariant solution; subalgebra

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MDPI and ACS Style

Khalique, C.K. Optimal Systems and Invariant Solutions for a Class of Soil Water Equations. Math. Comput. Appl. 2003, 8, 135-141. https://doi.org/10.3390/mca8020135

AMA Style

Khalique CK. Optimal Systems and Invariant Solutions for a Class of Soil Water Equations. Mathematical and Computational Applications. 2003; 8(2):135-141. https://doi.org/10.3390/mca8020135

Chicago/Turabian Style

Khalique, C. K. 2003. "Optimal Systems and Invariant Solutions for a Class of Soil Water Equations" Mathematical and Computational Applications 8, no. 2: 135-141. https://doi.org/10.3390/mca8020135

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