The KdV equation under periodic boundary conditions and its perturbations

被引：10
|
作者：
Guan, Huang [1 ]
Kuksin, Sergei [2 ]
机构：
[1] Ecole Polytech, CMLS, Palaiseau, France
[2] Univ Paris Diderot, IMJ, Paris, France
来源：
NONLINEARITY | 2014年 / 27卷 / 09期
关键词：
KdV; perturbed KdV; averaging; KAM; random perturbation; DE-VRIES EQUATION; SCHRODINGER; OPERATOR; SYSTEMS; THEOREM;
D O I：
10.1088/0951-7715/27/9/R61
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we discuss properties of the Korteweg-de Vries (KdV) equation under periodic boundary conditions, especially those which are important for studying perturbations of the equation. We then review what is known about the long-time behaviour of solutions for perturbed KdV equations.
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页码：R61 / R88
页数：28
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