Operator splitting for the Benjamin-Ono equation
Journal article, Peer reviewed
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Original versionJournal of Differential Equations. 2015, 259 (11), 6694-6717. 10.1016/j.jde.2015.08.002
In this paper we analyze operator splitting for the Benjamin–Ono equation, ut=uux+Huxx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang splittings.