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arXiv · 1311.1766

Operator splitting for the Benjamin-Ono equation

R. Dutta·H. Holden·U. Koley·N. H. Risebro
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Abstract

In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang splitting.

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R. Dutta, H. Holden, U. Koley, N. H. Risebro. 2013-11-07. Operator splitting for the Benjamin-Ono equation. https://arxiv.org/abs/1311.1766

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