Travelling waves in lattice dynamical systems

被引：2
|
作者：
Pankov, AA
Pflüger, K
机构：
[1] Univ Giessen, Math Inst, D-35392 Giessen, Germany
[2] Free Univ Berlin, Inst Math 1, D-14195 Berlin, Germany
[3] Humboldt Univ, Berlin, Germany
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2000年 / 23卷 / 14期
关键词：
lattice systems; travelling waves;
D O I：
10.1002/1099-1476(20000925)23:14<1223::AID-MMA162>3.0.CO;2-Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a class of one-dimensional lattice dynamical systems we prove the existence of periodic travelling waves with prescribed speed and arbitrary period. Then we study asymptotic behaviour of such waves for big values of period and show that they converge, in an appropriate topology, to a solitary travelling wave. Copyright (C) 2000 John Wiley & Sons. Ltd.
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页码：1223 / 1235
页数：13
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