Jumping solitary waves in an autonomous reaction-diffusion system with subcritical wave instability

We describe a new type of solitary waves, which propagate in such a manner that the pulse periodically disappears from its original position and reemerges at a fixed distance. We find such jumping waves as solutions to a reaction-diffusion system with a subcritical short-wavelength instability. We d...

Full description

Saved in:

Bibliographic Details
Published in:	Physical chemistry chemical physics : PCCP Vol. 8; no. 40; p. 4647
Main Authors:	Yang, Lingfa, Zhabotinsky, Anatol M, Epstein, Irving R
Format:	Journal Article
Language:	English
Published:	England 01-01-2006
Subjects:	Algorithms Biophysical Phenomena Biophysics Diffusion Models, Chemical Motion Nonlinear Dynamics Oscillometry - methods Solutions - chemistry
Online Access:	Get more information
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We describe a new type of solitary waves, which propagate in such a manner that the pulse periodically disappears from its original position and reemerges at a fixed distance. We find such jumping waves as solutions to a reaction-diffusion system with a subcritical short-wavelength instability. We demonstrate closely related solitary wave solutions in the quintic complex Ginzburg-Landau equation. We study the characteristics of and interactions between these solitary waves and the dynamics of related wave trains and standing waves.
ISSN:	1463-9076
DOI:	10.1039/b609214d