Stellenbosch University
Conservation laws and group-invariant solutions for
certain soil water equations
Gontse Simon Pai\(^*\) and Chaudry Masood
Khalique,
International Institute for Symmetry Analysis and Mathematical
Modelling,
Department of Mathematical Sciences, North-West University
SAMS Subject Classification Number: 3
We determine conservation laws for a class of soil water equations that represents a model to simulate soil water infiltration, redistribution, and extraction in a bedded soil profile overlaying a shallow water table and irrigated by a line source drip irrigation system [1–3]. Finally we present some group-invariant solutions of the underlying equations.
References
[1] G. Beer and M.I. Garrido, Bornologies and locally lipschitz functions, Bull. Aust. Math. Soc. 90 (2014), 257–263.
[2] O. Olela Otafudu and D. Mukonda, On Bourbaki-bounded sets on quasi-pseudometric spaces, Math. Appl. (To appear)
[3] O. Olela Otafudu, W. Toko and D. Mukonda, On bornology of extended quasi-metric spaces, Hacet. J. Math. Stat. 48 (2019), 1767–1777.
