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.

引用

页码：R61 / R88

页数：28

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