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Localized patterns and hole solutions in one-dimension extended sytem
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 i...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2000
ISSN: 1078-0947
DOI: 10.3934/dcds.2000.6.503