Corrections to the KdV approximation for water waves

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dc.creatorWright, J. Douglas
dc.date2004-06-21
dc.date2004-07-01
dc.date.accessioned2026-07-07T05:09:25Z
dc.date.available2026-07-07T05:09:25Z
dc.descriptionIn order to investigate corrections to the common KdV approximation for surface water waves in a canal, we derive modulation equations for the evolution of long wavelength initial data. We work in Lagrangian coordinates. The equations which govern corrections to the KdV approximation consist of linearized and inhomogeneous KdV equations plus an inhomogeneous wave equation. These equations are explicitly solvable and we prove estimates showing that they do indeed give a significantly better approximation than the KdV equation alone.
dc.description50 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0406403
dc.identifierhttp://arxiv.org/abs/math/0406403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71622
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.subject76B15
dc.titleCorrections to the KdV approximation for water waves
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