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math.AP2025
Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom
André de Laire, Olivier Goubet, MarÃa Eugenia MartÃnez +2
The Boussinesq system is a 4-parameter set of equations posed in , originally derived by Bona, Chen and Saut as first-order 2-wave approximatio…
math.AP2025
Exotic traveling waves for a quasilinear Schrödinger equation with nonzero background
André de Laire, Erwan Le Quiniou
We study a defocusing quasilinear Schrödinger equation with nonzero conditions at infinity in dimension one. This quasilinear model corresponds to a weakly nonlocal approximation…