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
收藏
页码：2313 / 2331
页数：19
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