A splitting method that composes the exact Benjamin-Ono flow with a linear perturbation step converges at first order in H^s for initial data in H^{s+1}, and its ILW variant converges to the Benjamin-Ono solution in the deep-water limit.
Alama Bronsard, Y
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Splitting methods for Intermediate Long Wave and perturbed Benjamin--Ono models
A splitting method that composes the exact Benjamin-Ono flow with a linear perturbation step converges at first order in H^s for initial data in H^{s+1}, and its ILW variant converges to the Benjamin-Ono solution in the deep-water limit.