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The Reduced Ostrovsky Equation: Integrability and Breaking
Authors:R H J Grimshaw  Karl Helfrich  E R Johnson
Institution:1. Loughborough University;2. Woods Hole Oceanographic Institute;3. University College
Abstract:The reduced Ostrovsky equation is a modification of the Korteweg‐de Vries equation, in which the usual linear dispersive term with a third‐order derivative is replaced by a linear nonlocal integral term, which represents the effect of background rotation. This equation is integrable provided a certain curvature constraint is satisfied. We demonstrate, through theoretical analysis and numerical simulations, that when this curvature constraint is not satisfied at the initial time, then wave breaking inevitably occurs.
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