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20112023
most citedOn the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type

77 citations · 218 across the 12 of their papers we have counts for

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math.AP2021

Existence of Davey--Stewartson type solitary waves for the fully dispersive Kadomtsev--Petviashvilii equation

Mats Ehrnström, Mark D. Groves, Dag Nilsson

We prove existence of small-amplitude modulated solitary waves for the full-dispersion Kadomtsev--Petviashvilii (FDKP) equation with weak surface tension. The resulting waves are s…

math.AP2021★ 6 cited

Fully localised three-dimensional gravity-capillary solitary waves on water of infinite depth

Boris Buffoni, Mark D. Groves, Erik Wahlén

Fully localised solitary waves are travelling-wave solutions of the three-dimensional gravity-capillary water wave problem which decay to zero in every horizontal spatial direction…