5 papers
Perturbation of Traveling Boussinesq Solitons by Periodic Bathymetry
A. Ludu, J. Yu, A. S. Carstea
We investigate the perturbations induced by a periodic bathymetry on traveling Boussinesq solitons in a two-dimensional configuration. We present two perturbation approaches to sol…
Model for self-organized Leidenfrost rotating polygons as cnoidal waves
A. S. Carstea, A. Ludu
The remarkable appearance of self-organized regular and peaked polygonal rotating patterns in shallow Leidenfrost rings is investigated as a balance between surface tension geometr…
Singularity confinement and proliferation of tau functions for a general differential-difference Sawada-Kotera equation
Andrei Marin, Adrian Stefan Carstea
Blending Painlevé property with singularity confinement for a general arbitrary order Sawada-Kotera differential-difference equation, we find a proliferation of ``tau-functions''…
New envelope equations for shallow water waves and modulational instability
Andrei Marin, Adrian Stefan Carstea
The dynamics of wave groups is studied for long waves, using the framework of the Benjamin-Bona-Mahony (BBM) equation and its generalizations. It is shown that the dynamics are ric…
A fast algorithmic way to calculate the degree growth of birational mappings
Basil Grammaticos, Alfred Ramani, Adrian Stefan Carstea +1
We present an algorithmic method for the calculation of the degrees of the iterates of birational mappings, based on Halburd's method for obtaining the degrees from the singularity…