1 citations · 2 across the 3 of their papers we have counts for
Showing 2008Show all
2 papers · 1 filter
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…
math.AP2008★ 61 cited
Orbital stability of the black soliton to the Gross-Pitaevskii equation
Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut +1
We establish the orbital stability of the black soliton, or kink solution, $\v_0(x) = þ\big(\frac{x}{\sqrt{2}} \big)$, to the one-dimensional Gross-Pitaevskii equation, with respec…