2003, 2003(Special): 477-481. doi: 10.3934/proc.2003.2003.477

Conservation laws and invariant solutions for soil water equations

1. 

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

Received  September 2002 Revised  April 2003 Published  April 2003

We determine conservation laws for a class of soil water equations and associate these, where possible, with Lie symmetry generators. One cannot invoke Noether’s theorem here as there is no Lagrangian for these equations. We also obtain exact solutions for such a class of equations. These solutions are invariant under a three-dimensional subalgebra of the symmetry Lie algebra.
Citation: C. M. Khalique, G. S. Pai. Conservation laws and invariant solutions for soil water equations. Conference Publications, 2003, 2003 (Special) : 477-481. doi: 10.3934/proc.2003.2003.477
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