Localized patterns and hole solutions in one-dimensional extended systems

Marcel G. Clerc and Claudio Falcon

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 1, 48-53

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.

Keywords: Fronts; Patterns; Localized structures (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:1:p:48-53

DOI: 10.1016/j.physa.2005.05.011

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