Localized patterns and hole solutions in one-dimension extended sytem
Pattern Formation and Solitons
2009-11-11 v1
Abstract
The existence, stability properties, and bifurcation diagrams of localized patterns and hole solutions in one-dimensional extended systems is studied from the point of view of front interactions. An adequate envelope equation is derived from a prototype model that exhibits these particle-type solutions. This equation allow us to obtain an analytical expression for the front interaction, which is in good agreement with numerical simulations.
Cite
@article{arxiv.nlin/0502041,
title = {Localized patterns and hole solutions in one-dimension extended sytem},
author = {M. G. Clerc and C. Falcon},
journal= {arXiv preprint arXiv:nlin/0502041},
year = {2009}
}
Comments
7 pages, 3 figures