Article ID Journal Published Year Pages File Type
838399 Nonlinear Analysis: Real World Applications 2009 5 Pages PDF
Abstract

We determine all the nontrivial conservation laws for soil water redistribution and extraction flow equations which are modelled by a class of (2+1) nonlinear evolution partial differential equations with three arbitrary elements. It is shown that for arbitrary elements in the model equation there exist trivial conservation laws. We point out that nontrivial conservation laws exist for certain classes of equations which admit point symmetries.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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