3 papers
math.AP2022
Decay of solitary waves of fractional Korteweg-de Vries type equations
Arnaud Eychenne, Frédéric Valet
We study the solitary waves of fractional Korteweg-de Vries type equations, that are related to the -dimensional semi-linear fractional equations: \begin{align*} \vert D \vert^α…
math.AP2022
Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation
Arnaud Eychenne, Frédéric Valet
We study one particular asymptotic behaviour of a solution of the fractional modified Korteweg-de Vries equation (also known as the dispersion generalised modified Benjamin-Ono equ…
math-ph2018
On the stability of 2D dipolar Bose-Einstein condensates
Arnaud Eychenne, Nicolas Rougerie
We study the existence of energy minimizers for a Bose-Einstein condensate with dipole-dipole interactions, tightly confined to a plane. The problem is critical in that the kinetic…