Static spike autosolitons in the Gray-Scott model

Document Type

Article

Publication Date

12-8-2000

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.

Identifier

0034623753 (Scopus)

Publication Title

Journal of Physics A Mathematical and General

External Full Text Location

https://doi.org/10.1088/0305-4470/33/48/321

ISSN

03054470

First Page

8893

Last Page

8916

Issue

48

Volume

33

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