MODULATIONS OF PERTURBED KdV WAVETRAINS.

M. Gregory Forest; David W. McLaughlin

doi:10.1137/0144021

MODULATIONS OF PERTURBED KdV WAVETRAINS.

M. Gregory Forest
, David W. McLaughlin

Icahn School of Medicine at Mount Sinai

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

14 Scopus citations

Abstract

The modulations of N-phase Korteweg-de Vries (KdV) wavetrains in the presence of external perturbations is investigated. An invariant representation of these modulation equations in terms of differentials on a Riemann surface is derived from averaged perturbed conservation laws. In particular, the explicit dependence of the representation on the external perturbation is obtained. This invariant representation is used to place the equation in a Riemann diagonal form, whose dependence on the external perturbation is explicitly computed.

Original language	English
Pages (from-to)	287-300
Number of pages	14
Journal	SIAM Journal on Applied Mathematics
Volume	44
Issue number	2
DOIs	https://doi.org/10.1137/0144021
State	Published - 1984

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title = "MODULATIONS OF PERTURBED KdV WAVETRAINS.",

abstract = "The modulations of N-phase Korteweg-de Vries (KdV) wavetrains in the presence of external perturbations is investigated. An invariant representation of these modulation equations in terms of differentials on a Riemann surface is derived from averaged perturbed conservation laws. In particular, the explicit dependence of the representation on the external perturbation is obtained. This invariant representation is used to place the equation in a Riemann diagonal form, whose dependence on the external perturbation is explicitly computed.",

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AU - McLaughlin, David W.

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AB - The modulations of N-phase Korteweg-de Vries (KdV) wavetrains in the presence of external perturbations is investigated. An invariant representation of these modulation equations in terms of differentials on a Riemann surface is derived from averaged perturbed conservation laws. In particular, the explicit dependence of the representation on the external perturbation is obtained. This invariant representation is used to place the equation in a Riemann diagonal form, whose dependence on the external perturbation is explicitly computed.

UR - https://www.scopus.com/pages/publications/0021411505

U2 - 10.1137/0144021

DO - 10.1137/0144021

M3 - Article

AN - SCOPUS:0021411505

SN - 0036-1399

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SP - 287

EP - 300

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 2

ER -

MODULATIONS OF PERTURBED KdV WAVETRAINS.

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