J F R Archilla et al 1997 J. Phys. A: Math. Gen. 30 185 doi:10.1088/0305-4470/30/1/013
Lie symmetries and multiple solutions in 
reaction-diffusion systems
J F R Archilla
, J L Romero
, F Romero Romero§ and F Palmero
Lie theory of transformation groups is applied to the study of 
reaction-diffusion systems in two-dimensional media. Our study proves that they are invariant with respect to a five-parameter symmetry group. Multiple types of invariant solutions with physical interest are possible, and some of them can be found in the literature applied to particular models.
- PACS
-
02.30.Jr Partial differential equations
82.20.-w Chemical kinetics and dynamics
02.20.Qs General properties, structure, and representation of Lie groups
- MSC
- Subjects
- Dates
-
Issue 1 (7 January 1997)
Received 5 December 1995, in final form 6 August 1996
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Lie symmetries and multiple solutions in reaction-diffusion systems
J F R Archilla et al 1997 J. Phys. A: Math. Gen. 30 185
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