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Conservation laws and invariant solutions for soil water equations

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  • 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.
    Mathematics Subject Classification: Primary: 35L65, 70S10, 34C14 ; Secondary: 34C20.


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