133 citations · 184 across the 9 of their papers we have counts for
Showing 2008Show all
2 papers · 1 filter
math.AP2008★ 10 cited
On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation I
Fabrice Bethuel, Philippe Gravejat, Jean-Claude Saut +1
The fact that the Korteweg-de-Vries equation offers a good approximation of long-wave solutions of small amplitude to the one-dimensional Gross-Pitaevskii equation was derived seve…
math.AP2008
On the linear wave regime of the Gross-Pitaevskii equation
Fabrice Bethuel, Raphael Danchin, Didier Smets
We study a long wave-length asymptotics for the Gross-Pitaevskii equation corresponding to perturbation of a constant state of modulus one. We exhibit lower bounds on the first occ…