2 papers
nlin.SI2025
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''…
nlin.PS2025
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…