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20102022
most citedOn the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type

77 citations · 260 across the 14 of their papers we have counts for

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math.AP2011★ 40 cited

Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves

Boris Buffoni, Mark D. Groves, Shu-Ming Sun +1

In this paper we show that the hydrodynamic problem for three-dimensional water waves with strong surface-tension effects admits a fully localised solitary wave which decays to the…