5 papers · 1 filter
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…
Solitary wave solutions of a Whitham-Boussinesq system
Evgueni Dinvay, Dag Nilsson
The travelling wave problem for a particular bidirectional Whitham system modelling surface water waves is under consideration. This system firstly appeared in [Dinvay, Dutykh, Kal…
Extended lifespan of the fractional BBM equation
Dag Nilsson
For and with initial data , sufficently small, we show that the existence time for solutions of the fractional BBM e…
Solitary wave solutions to a class of Whitham-Boussinesq systems
Dag Nilsson, Yuexun Wang
In this note we study solitary wave solutions of a class of Whitham-Boussinesq systems which includes the bi-directional Whitham system as a special example. The travelling wave ve…
Three-dimensional internal gravity-capillary waves in finite depth
Dag Nilsson
We consider three-dimensional inviscid irrotational flow in a two layer fluid under the effects of gravity and surface tension, where the upper fluid is bounded above by a rigid li…