ARBITRARY-DIMENSIONAL SPIKE AUTOSOLITONS

Citation
Vv. Osipov et Av. Severtsev, ARBITRARY-DIMENSIONAL SPIKE AUTOSOLITONS, Physica. A, 249(1-4), 1998, pp. 162-166
Citations number
17
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
249
Issue
1-4
Year of publication
1998
Pages
162 - 166
Database
ISI
SICI code
0378-4371(1998)249:1-4<162:ASA>2.0.ZU;2-Q
Abstract
We study the shape of one of the basic types of solitary patterns - sp ike autosolitons (ASs) forming in many physical, chemical and biologic al systems. We show that in contrast to domain patterns forming in Fit zHugh-Nagumo type systems the size and amplitude of spike ASs are dete rmined by length scales rather than nonlinearities of the system. We f ind that the amplitude of 2D and 3D ASs is several orders greater than that of 1D AS and can take on gigantic values. (C) 1998 Elsevier Scie nce B.V. All rights reserved.