Existence of travelling waves in discrete sine-Gordon rings

被引：20
|
作者：
Katriel, G [1 ]
机构：
[1] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 36卷 / 05期
关键词：
discrete sine-Gordon equation; Frenkel-Kontorova model; travelling waves;
D O I：
10.1137/S0036141004440174
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove existence results for travelling waves in discrete, damped, dc-driven sine-Gordon equations with periodic boundary conditions. Methods of nonlinear functional analysis are employed. Some unresolved questions are raised.
引用
收藏
页码：1434 / 1443
页数：10
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