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Higher Order Modulation Equations for a Boussinesq Equation

SIAM J. Appl. Dyn. Syst. Volume 1, Issue 2, pp. 271-302 (2002)

Issue Date: 2002
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In order to investigate corrections to the common KdV approximation to long waves, we derive modulation equations for the evolution of long wavelength initial data for a Boussinesq equation. The equations governing the corrections to the KdV approximation are explicitly solvable, and we prove estimates showing that they do indeed give a significantly better approximation than the KdV equation alone. We also present the results of numerical experiments which show that the error estimates we derive are essentially optimal.

©2002 Society for Industrial and Applied Mathematics
Permalink: http://dx.doi.org/10.1137/S1111111102411298

KEYWORDS and AMS

Keywords
AMS Subject Classifications
76B15, 35Q51, 35Q53

PUBLICATION DATA

ISSN:
1536-0040 (online)
Publisher:
AIP is a member of CrossRef SIAM

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