133 citations · 184 across the 9 of their papers we have counts for
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math.AP2009★ 1 cited
Slow motion for gradient systems with equal depth multiple-well potentials
Fabrice Bethuel, Didier Smets, Giandomenico Orlandi
For scalar reaction-diffusion in one space dimension, it is known for a long time that fronts move with an exponentially small speed for potentials with several distinct mini- mize…
math.AP2009★ 35 cited
On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation II
Fabrice Bethuel, Philippe Gravejat, Jean-Claude Saut +1
In this paper, we proceed along our analysis of the Korteweg-de Vries approximation of the Gross-Pitaevskii equation initiated in a previous paper. At the long-wave limit, we estab…