Stability of the Camassa-Holm solitons

被引：353

作者：

Constantin, A

Strauss, WA

机构：

[1] Lund Univ, Dept Math, S-22100 Lund, Sweden

[2] Brown Univ, Dept Math, Providence, RI 02912 USA

[3] Brown Univ, Lefschetz Ctr Dynam Syst, Providence, RI 02912 USA

来源：

JOURNAL OF NONLINEAR SCIENCE | 2002年 / 12卷 / 04期

关键词：

D O I：

10.1007/s00332-002-0517-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the stability problem of the solitary wave solutions of a completely integrable equation that arises as a model for the unidirectional propagation of shallow water waves. We prove that the solitary waves possess the spectral properties of solitons and that their shapes are stable under small disturbances.

引用

页码：415 / 422

页数：8

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