MODULATIONS OF PERTURBED KdV WAVETRAINS.

M. Gregory Forest; David W. McLaughlin

doi:10.1137/0144021

MODULATIONS OF PERTURBED KdV WAVETRAINS.

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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 (US)
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

ASJC Scopus subject areas

Applied Mathematics

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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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MODULATIONS OF PERTURBED KdV WAVETRAINS.

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