A constructive algorithm is proposed for the investigation of symmetries of partial differential equations. The algorithm is used to present classical Lie symmetries of systems of two non-linearâ€¦ (More)

Cyanobacteria, including the genera Anabaena, Aphanizomenon, Microcystis, and Oscillatoria, are known to release or have the potential to release phycotoxins into the water. Indeed, there areâ€¦ (More)

The method of one parameter, point symmetric, approximate Lie group invariants is applied to the problem of determining solutions of systems of pure one-dimensional, diffusion equations. Theâ€¦ (More)

We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class that can beâ€¦ (More)

Occluded 2-D Data D.P.IHing*, P.T.Fairney & R.J.Wiltshire,* *Dept. of Mathematics and Computing, +Dept. of Computer Studies, The Polytechnic of Wales, Pontypridd, Mid Glamorgan, CF37 1DL Theâ€¦ (More)

This paper focuses upon the derivation of the similarity solutions of a nonlinear equation associated with a free boundary problem arising in glaciology. We present a potential symmetry analysis ofâ€¦ (More)

In this paper we derive some similarity solutions of a nonlinear equation associated with a free boundary problem arising in the shallow-water approximation in glaciology. In addition we present aâ€¦ (More)