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Mathematical and Computational Applications
Article . 1999 . Peer-reviewed
License: CC BY
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Invariant Solutions for Soil Water Equations

Invariant solutions for soil water equations
Authors: Baikov, V.; Khalique, C.;

Invariant Solutions for Soil Water Equations

Abstract

We obtain exact solutions for a class of nonlinear partial differential equations which models soil water infiltration and redistribution in a bedded soil profile irrigated by a drip irrigation system. The solutions obtained are invariant under two parameter symmetry groups.

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Keywords

Hydrology, hydrography, oceanography, drip irrigation system, two-parameter symmetry groups, Flows in porous media; filtration; seepage, Lie algebra, soil water infiltration, bedded soil profile, PDEs in connection with fluid mechanics, nonlinear partial differential equations, n/a, Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics, Lie transformation group, Lie group theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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