Long nonlinear waves in resonance with topography

Jongho Choi; Paul A. Milewski

doi:10.1111/1467-9590.00229

Long nonlinear waves in resonance with topography

Jongho Choi, Paul A. Milewski

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Abstract

The evolution of periodic long surface waves over a periodic bottom topography resonant with the waves is studied. Coupled Korteweg-de Vries equations are derived and describe the evolution in terms of interaction between right- and left-traveling waves. The coupling arises from the cumulative effect of wave scattering. We discuss the various conserved quantities of the system and compute solutions for the initial value problem and for the time-periodic problem of fluid "sloshing̊ in a tank. Some three-dimensional extensions are discussed.

Original language	English
Pages (from-to)	21-48
Number of pages	28
Journal	Studies in Applied Mathematics
Volume	110
Issue number	1
Early online date	14 Dec 2002
DOIs	https://doi.org/10.1111/1467-9590.00229
Publication status	Published - 1 Jan 2003

ASJC Scopus subject areas

Applied Mathematics

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10.1111/1467-9590.00229

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Long nonlinear waves in resonance with topography

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