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.
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页码：947 / 996
页数：50
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