✦ LIBER ✦

Linearisation and potential symmetries of certain systems of diffusion equations

✍ Scribed by C. Sophocleous; R.J. Wiltshire

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 190 KB
Volume: 370
Category: Article
ISSN: 0378-4371
DOI: 10.1016/j.physa.2006.03.003

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✦ Synopsis

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.

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