Abstract
In this paper, we study the rotation two-component Camassa-Holm system, which is a model in the equatorial water waves with the effect of the Coriolis force. We establish the global Gevrey regularity of the rotation two-component Camassa-Holm system in Gevrey class Gτ with τ≥1 in time. Our obtained result improves considerably the recent result in [45].
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