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

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16 引用（Scopus）

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.

源语言	英语
页（从-至）	R61-R88
期刊	Nonlinearity
卷	27
期	9
DOI	https://doi.org/10.1088/0951-7715/27/9/R61
出版状态	已出版 - 1 9月 2014
已对外发布	是

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10.1088/0951-7715/27/9/R61

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Guan, H., & Kuksin, S. (2014). The KdV equation under periodic boundary conditions and its perturbations. Nonlinearity, 27(9), R61-R88. https://doi.org/10.1088/0951-7715/27/9/R61

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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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KW - averaging

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KW - random perturbation

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The KdV equation under periodic boundary conditions and its perturbations

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