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arXiv · 1801.05130

Operator splitting for dispersion-generalized Benjamin-Ono equations

Takanobu Tokumasu
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Abstract

We consider the operator splitting for a class of nonlinear equation, which includes the KdV equation, the Benjamin-Ono equation, and the Burgers equation. We prove a first-order approxomation in $\Delta t$ in the Sobolev space for the Godunov splitting, and second-order approximation for the Strang splitting.

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Takanobu Tokumasu. 2018-01-16. Operator splitting for dispersion-generalized Benjamin-Ono equations. https://arxiv.org/abs/1801.05130

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