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pro vyhledávání: '"Nilsson, Dag"'
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 that such waves bifurcate from the line solitary wave solutions, i.e. so
Externí odkaz:
http://arxiv.org/abs/2406.02423
We present a Lyapunov centre theorem for an antisymplectically reversible Hamiltonian system exhibiting a nondegenerate $1:1$ or $1:-1$ semisimple resonance as a detuning parameter is varied. The system can be finite- or infinite dimensional (and qua
Externí odkaz:
http://arxiv.org/abs/2307.07194
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, for which the velocity field and the vorticity are collinear. We discu
Externí odkaz:
http://arxiv.org/abs/2307.01702
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 versions: fKP-I (strong surface tension case) and fKP-II (weak surface tensio
Externí odkaz:
http://arxiv.org/abs/2304.10257
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 small-order perturbations of scaled, translated and frequency-shifted s
Externí odkaz:
http://arxiv.org/abs/2110.03971
Of concern are traveling wave solutions for the fractional Kadomtsev--Petviashvili (fKP) equation. The existence of periodically modulated solitary wave solutions is proved by dimension breaking bifurcation. Moreover, the line solitary wave solutions
Externí odkaz:
http://arxiv.org/abs/2109.08731
Autor:
Dinvay, Evgueni, Nilsson, Dag
The travelling wave problem for a particular bidirectional Whitham system modelling surface water waves is under consideration. This system firstly appeared in [Dinvay, Dutykh, Kalisch 2018], where it was numerically shown to be stable and a good app
Externí odkaz:
http://arxiv.org/abs/1903.11292
Autor:
Nilsson, Dag
For $0<\alpha<1$ and with initial data $\vert\vert u_0\vert\vert_{H^{N+\frac{\alpha}{2}}}=\varepsilon$, sufficently small, we show that the existence time for solutions of the fractional BBM equation $\partial_tu+\partial_xu+u\partial_xu+\vert\mathrm
Externí odkaz:
http://arxiv.org/abs/1902.06336
Autor:
Nilsson, Dag, Wang, Yuexun
Publikováno v:
Z. Angew. Math. Phys.(2019)
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 version of the evolution system can be reduced to a single evolution equ
Externí odkaz:
http://arxiv.org/abs/1810.03405
Autor:
Nilsson, Dag
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 lid and the lower fluid is bounded below by a flat bottom. We use a spat
Externí odkaz:
http://arxiv.org/abs/1806.04714