Browsing NTNU Open by Author "Groves, Mark D"
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Existence of Davey–Stewartson type solitary waves for the fully dispersive Kadomtsev–Petviashvilii equation
Ehrnstrom, Mats; Nilsson, Dag; Groves, Mark D (Peer reviewed; Journal article, 2022)We prove the existence of small-amplitude modulated solitary waves for the full-dispersion Kadomtsev--Petviashvilii (FDKP) equation with weak surface tension. The resulting waves are small-order perturbations of scaled, ... -
Small-amplitude fully localised solitary waves for the full-dispersion Kadomtsev-Petviashvili equation
Ehrnstrom, Mats; Groves, Mark D (Journal article; Peer reviewed, 2018)The KP-I equation arises as a weakly nonlinear model equation for gravity-capillary waves with strong surface tension (Bond number ). This equation admits—as an explicit solution—a 'fully localised' or 'lump' solitary ...