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

被引：57
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.
引用
收藏
页码：167 / 178
页数：11
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