Traveling Wave Solutions for a Class of One-Dimensional Nonlinear Shallow Water Wave Models

被引：58
|
作者：
Chongsheng Cao
Darryl D. Holm
Edriss S. Titi
机构：
[1] Los Alamos National Laboratory,Center for Nonlinear Studies, MS B
[2] Imperial College of Science,258
[3] Technology and Medicine,Los Alamos National Laboratory, Los Alamos, NM 87545, USA; Department of Mathematics
[4] University of California,Department of Mathematics and Department of Mechanical and Aerospace Engineering
来源：
Journal of Dynamics and Differential Equations | 2004年 / 16卷 / 1期
关键词：
Traveling wave solutions; shallow water models;
D O I：
10.1023/B:JODY.0000041284.26400.d0
中图分类号：
学科分类号：
摘要：
In this paper we consider a class of one-dimensional nonlinear shallow water wave models that support weak solutions. We construct new traveling wave solutions for these models. Moreover, we show that these new traveling wave solutions are stable.
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页码：167 / 178
页数：11
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