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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…