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nlin.PS2025★ 1 cited
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…
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…