Static spike autosolitons in the Gray-Scott model

C. B. Muratov; V. V. Osipov

doi:10.1088/0305-4470/33/48/321

Static spike autosolitons in the Gray-Scott model

C. B. Muratov, V. V. Osipov

Research output: Contribution to journal › Article › peer-review

67 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 language	English (US)
Pages (from-to)	8893-8916
Number of pages	24
Journal	Journal of Physics A: Mathematical and General
Volume	33
Issue number	48
DOIs	https://doi.org/10.1088/0305-4470/33/48/321
State	Published - Dec 8 2000

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

Access to Document

10.1088/0305-4470/33/48/321

Cite this

@article{4375228c87c0414985452631e7b31c8a,

title = "Static spike autosolitons in the Gray-Scott model",

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.",

author = "Muratov, {C. B.} and Osipov, {V. V.}",

year = "2000",

month = dec,

day = "8",

doi = "10.1088/0305-4470/33/48/321",

language = "English (US)",

volume = "33",

pages = "8893--8916",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "48",

}

TY - JOUR

T1 - Static spike autosolitons in the Gray-Scott model

AU - Muratov, C. B.

AU - Osipov, V. V.

PY - 2000/12/8

Y1 - 2000/12/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034623753&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034623753&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/33/48/321

DO - 10.1088/0305-4470/33/48/321

M3 - Article

AN - SCOPUS:0034623753

SN - 0305-4470

VL - 33

SP - 8893

EP - 8916

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 48

ER -

Static spike autosolitons in the Gray-Scott model

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this