Solitary waves of the bona - Smith system

被引：6
|
作者：
Dougalis, VA [1 ]
Mitsotakis, DE [1 ]
机构：
[1] Univ Athens, Dept Math, Zografos 15784, Greece
来源：
ADVANCES IN SCATTERING AND BIOMEDICAL ENGINEERING, PROCEEDINGS | 2004年
关键词：
D O I：
10.1142/9789812702593_0030
中图分类号：
R318 [生物医学工程];
学科分类号：
0831 ;
摘要：
We consider the Bona - Smith family of Boussinesq systems and show, following Toland's theory, that it possesses solitary wave solutions for each k > 1, where k is the speed of propagation of the wave. In addition, the solitary waves are shown to be unique if k is small enough. We also make a brief computational study of the stability of these solitary waves.
引用
收藏
页码：286 / 294
页数：9
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