Symmetry Reductions of Equations for Solute Transport in Soil
- Cite this article as:
- Broadbridge, P., Hill, J.M. & Goard, J.M. Nonlinear Dynamics (2000) 22: 15. doi:10.1023/A:1008309107295
Solute transport in saturated soil is represented by anonlinear system consisting of a Fokker–Planck equation coupled toLaplace's equation. Symmetries, reductions and exact solutions are foundfor two dimensional transient solute transport through some nontrivialwedge and spiral steady water flow fields. In particular, the mostgeneral complex velocity potential is determined, such that the soluteequation admits a stretching group of transformations that wouldnormally be possessed by a point source solution.