C B Muratov and V V Osipov 2000 J. Phys. A: Math. Gen. 33 8893 doi:10.1088/0305-4470/33/48/321
C B Muratov1 and V V Osipov2
Show affiliationsWe construct asymptotically the solutions to a classical reaction-diffusion system (the Gray-Scott model of an autocatalytic reaction) in the form of static spike autosolitons (self-sustained solitary pulses, spots and clots). We show that solutions in the form of static spike autosolitons exist over a wide range of system parameters in one dimension, and in a narrower range of parameters in two and three dimensions. We study the properties of these solutions.
82.40.Ck Pattern formation in reactions with diffusion, flow and heat transfer
Issue 48 (8 December 2000)
Received 25 August 2000, in final form 24 October 2000
C B Muratov and V V Osipov 2000 J. Phys. A: Math. Gen. 33 8893
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