A stability analysis of fifth-order water wave models

被引：42

作者：

Levandosky, SP ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

PHYSICA D | 1999年 / 125卷 / 3-4期

关键词：

traveling wave; water wave model; solitary wave;

D O I：

10.1016/S0167-2789(98)00245-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stability of traveling wave solutions to a fifth-order water wave model. By solving a constrained minimization problem we show that "ground state" traveling wave solutions exist. Their stability is shown to be determined by the convexity analysis makes frequent use of the variational properties of the traveling waves. (C)1999 Elsevier Science B.V. All rights reserved.

引用

页码：222 / 240

页数：19

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