Operator splitting for the Benjamin-Ono equation (Q496763)
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| Language | Label | Description | Also known as |
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| English | Operator splitting for the Benjamin-Ono equation |
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Operator splitting for the Benjamin-Ono equation (English)
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22 September 2015
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The aim of this paper is to analyze operator splitting for the Benjamin-Ono equation, \[ u_t=uu_x+Hu_{xx}, \] where \(H\) denotes the Hilbert transform. The Benjamin-Ono equation models the evolution of weakly nonlinear internal long waves. If the initial data are sufficiently regular, the authors show the convergence of both Godunov and Strang splittings.
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Benjamin-Ono equation
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Godunov splitting
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Strang splitting
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error estimate
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convergence
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