Showing 2023 · math.APShow all
3 papers · 2 filters
math.AP2023
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…
math.AP2023
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,…
math.AP2023
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…