Static spike autosolitons in the Gray-Scott model

C. B. Muratov, V. V. Osipov

Research output: Contribution to journalArticlepeer-review

63 Scopus citations

Abstract

We 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.

Original languageEnglish (US)
Pages (from-to)8893-8916
Number of pages24
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number48
DOIs
StatePublished - Dec 8 2000

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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