Exponential decay of H1-localized solutions and stability of the train of N solitary waves for the Camassa-Holm equation

被引：33

作者：

El Dika, Khaled ^{[1
]}

Molinet, Luc ^{[1
]}

机构：

[1] Univ Paris 13, Inst Galilee, LAGA, F-93430 Villetaneuse, France

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2007年 / 365卷 / 1858期

关键词：

orbital stability; solitary waves; Camassa-Holm equation;

D O I：

10.1098/rsta.2007.2011

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

For the Camassa-Holm equation with kappa >= 0, we first prove that any global solution that is H-1-localized and moves fast enough to the right decays exponentially in space uniformly with respect to time. We also prove that for K > 0, a train of N solitary waves, which are sufficiently decoupled, is orbitally stable in H-1(R).

引用

页码：2313 / 2331

页数：19

共 37 条

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