Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979664 | Physica A: Statistical Mechanics and its Applications | 2006 | 17 Pages |
Abstract
We consider systems of two pure one-dimensional diffusion equations that have considerable interest in Soil Science and Mathematical Biology. We construct non-local symmetries for these systems. These are determined by expressing the equations in a partially and wholly conserved form, and then by performing a potential symmetry analysis on those systems that can be linearised. We give several examples of such systems, and in a specific case we show how linearising and hodograph-type mappings can lead to new solutions of the diffusion system.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
C. Sophocleous, R.J. Wiltshire,