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Type: Journal article
Title: Steady free-surface flow over spatially periodic topography
Author: Binder, B.
Blyth, M.
Balasuriya, S.
Citation: Journal of Fluid Mechanics, 2015; 781:R3-1-R3-14
Publisher: Cambridge University Press
Issue Date: 2015
ISSN: 0022-1120
Statement of
.J. Binder, M.G. Blyth and S. Balasuriya
Abstract: Two-dimensional free-surface flow over a spatially periodic channel bed topography is examined using a steady periodically forced Korteweg-de Vries equation. The existence of new forced solitary-type waves with periodic tails is demonstrated using recently developed non-autonomous dynamical-systems theory. Bound states with two or more co-existing solitary waves are also identified. The solution space for varying amplitude of forcing is explored using a numerical method. A rich bifurcation structure is uncovered and shown to be consistent with an asymptotic theory based on small forcing amplitude.
Keywords: Nonlinear dynamical systems; waves/free-surface flows
Rights: © Cambridge University Press 2015
DOI: 10.1017/jfm.2015.507
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Mathematical Sciences publications

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