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math.AP2018★ 57 cited
A nonlocal shallow-water model arising from the full water waves with the Coriolis effect
Guilong Gui, Yue Liu, Junwei Sun
In the present study a mathematical model of long-crested water waves propagating mainly in one direction with the effect of Earth's rotation is derived by following the formal asy…
math.AP2018★ 2 cited
On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect
Robin Ming Chen, Guilong Gui, Yue Liu
We consider an asymptotic 1D (in space) rotation-Camassa-Holm (R-CH) model, which could be used to describe the propagation of long-crested shallow-water waves in the equatorial oc…