15 citations · 44 across the 10 of their papers we have counts for
14 papers
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…
Periodically modulated solitary waves of the CH-KP-I equation
Dag Nilsson, Douglas Svensson Seth, Yuexun Wang
We consider the CH-KP-I equation. For this equation we prove the existence of steady solutions, which are solitary in one horizontal direction and periodic in the other. We show th…
A resonant Lyapunov centre theorem with an application to doubly periodic travelling hydroelastic waves
Rami Ahmad, Mark David Groves, Dag Nilsson
We present a Lyapunov centre theorem for an antisymplectically reversible Hamiltonian system exhibiting a nondegenerate or semisimple resonance as a detuning parameter…
Analytical Study of a generalised Dirichlet-Neumann operator and application to three-dimensional water waves on Beltrami flows
Mark D. Groves, Dag Nilsson, Stefano Pasquali +1
In this paper we consider three-dimensional steady water waves with vorticity, under the action of gravity and surface tension; in particular we consider so-called Beltrami flows,…
Lump solutions of the fractional Kadomtsev--Petviashvili equation
Handan Borluk, Gabriele Bruell, Dag Nilsson
Of concern are lump solutions for the fractional Kadomtsev--Petviashvili (fKP) equation. As in the classical Kadomtsev--Petviashvili equation, the fKP equation comes in two version…
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…