STABILITY OF INTEGRABLE AND NONINTEGRABLE STRUCTURES

被引：0
|
作者：
Munoz, Claudio [1 ,2 ]
机构：
[1] Univ Paris 11, CNRS, Fac Sci Orsay, F-91405 Orsay, France
[2] Univ Paris 11, Lab Math Orsay, Fac Sci Orsay, UMR 8628, F-91405 Orsay, France
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS | 2014年 / 19卷 / 9-10期
关键词：
2 SOLITON COLLISION; KORTEWEG-DEVRIES EQUATION; ASYMPTOTIC STABILITY; MULTISOLITON SOLUTIONS; WELL-POSEDNESS; GKDV; KDV; WAVES; INSTABILITY; BREATHERS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a comprehensive account of several recent results on the stability of nontrivial soliton structures for some well-known non periodic dispersive models. We will focus on the simpler case of the generalized Korteweg-de Vries equations, covering the classical stability results by Bona, Souganidis, and Strauss until the results by Martel and Merle and our recent collaborations with Miguel Alejo and Luis Vega.
引用
收藏
页码：947 / 996
页数：50
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