| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10482257 | Physica A: Statistical Mechanics and its Applications | 2005 | 6 Pages |
Abstract
The existence, stability properties, dynamical evolution and bifurcation diagram of localized patterns and hole solutions in one-dimensional extended systems are studied from the point of view of front interactions. An adequate envelope equation is derived from a prototype model that exhibits these particle-like solutions. This equation allows us to obtain an analytical expression for the front interaction, which is in good agreement with numerical simulations.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Marcel G. Clerc, Claudio Falcon,