22 citations · 66 across the 7 of their papers we have counts for
6 papers · 1 filter
Solitary wave solutions to a class of modified Green-Naghdi systems
Vincent Duchêne, Dag Nilsson, Erik Wahlén
We provide the existence and asymptotic description of solitary wave solutions to a class of modified Green-Naghdi systems, modeling the propagation of long surface or internal wav…
A variational approach to solitary gravity-capillary interfacial waves with infinite depth
Dominic Breit, Erik Wahlén
We present an existence and stability theory for gravity-capillary solitary waves on the top surface of and interface between two perfect fluids of different densities, the lower o…
A variational reduction and the existence of a fully-localised solitary wave for the three-dimensional water-wave problem with weak surface tension
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…
Trimodal steady water waves
Mats Ehrnström, Erik Wahlén
We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests…
Existence and conditional energetic stability of solitary gravity-capillary water waves with constant vorticity
M. D. Groves, E. Wahlén
We present an existence and stability theory for gravity-capillary solitary waves with constant vorticity on the surface of a body of water of finite depth. Exploiting a rotational…
Steady water waves with multiple critical layers
Mats Ehrnström, Joachim Escher, Erik Wahlén
We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, two-d…