14 citations · 15 across the 7 of their papers we have counts for
7 papers
Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom
André de Laire, Olivier Goubet, María Eugenia Martínez +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…
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 o…
Minimizing travelling waves for the Gross-Pitaevskii equation on
André de Laire, Philippe Gravejat, Didier Smets
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, or equivalently on the product space where $L >…
The cubic Schr{ö}dinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy
André De Laire, Philippe Gravejat
We pursue our work on the asymptotic regimes of the Landau-Lifshitz equation for bi-axial ferromagnets. We put the focus on the cubic Schr{ö}dinger equation, which is known to desc…
Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity
André de Laire, Pierre Mennuni
We consider a nonlocal family of Gross-Pitaevskii equations with nonzero conditions at infinity in dimension one. We provide conditions on the nonlocal interaction such that there…
Minimal energy for the traveling waves of the Landau-Lifshitz equation
André de Laire
We consider nontrivial finite energy traveling waves for the Landau-Lifshitz equation with easy-plane anisotropy. Our main result is the existence of a minimal energy for these tra…