The KdV equation under periodic boundary conditions and its perturbations

Huang Guan; Sergei Kuksin

doi:10.1088/0951-7715/27/9/R61

The KdV equation under periodic boundary conditions and its perturbations

Huang Guan, Sergei Kuksin

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	R61-R88
Journal	Nonlinearity
Volume	27
Issue number	9
DOIs	https://doi.org/10.1088/0951-7715/27/9/R61
Publication status	Published - 1 Sept 2014
Externally published	Yes

Keywords

KAM
KdV
averaging
perturbed KdV
random perturbation

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10.1088/0951-7715/27/9/R61

Cite this

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title = "The KdV equation under periodic boundary conditions and its perturbations",

abstract = "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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author = "Huang Guan and Sergei Kuksin",

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KW - KdV

KW - averaging

KW - perturbed KdV

KW - random perturbation

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JO - Nonlinearity

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The KdV equation under periodic boundary conditions and its perturbations

Abstract

Keywords

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