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math.AP2025
A plethora of fully localised solitary waves for the full-dispersion Kadomtsev-Petviashvili equation
Mats Ehrnström, Mark D. Groves
The KP-I equation arises as a weakly nonlinear model equation for gravity-capillary waves with Bond number , also called strong surface tension. This equation has recently…
math.AP2025
Fully localised three-dimensional solitary water waves on Beltrami flows with strong surface tension
Mark D. Groves, Erik Wahlén
Fully localised three-dimensional solitary waves are steady water waves which are evanescent in every horizontal direction. This paper presents an existence theory for such waves u…
math.AP2025
An existence theory for solitary waves on a ferrofluid jet
Mark D. Groves, Dag Nilsson, Leon Schütz
We discuss axisymmetric solitary waves on the surface of an otherwise cylindrical ferrofluid jet surrounding a stationary metal rod. The ferrofluid, which is governed by a general…