Localized patterns and hole solutions in one-dimensional extended systems

被引:57
作者
Clerc, MG [1 ]
Falcon, C [1 ]
机构
[1] Univ Chile, Fac Ciencias Fis & Matemat, Dept Fis, Santiago, Chile
关键词
fronts; patterns; localized structures;
D O I
10.1016/j.physa.2005.05.011
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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. (c) 2005 Published by Elsevier B.V.
引用
收藏
页码:48 / 53
页数:6
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