1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.AP2008★ 1 cited
The KdV/KP-I limit of the Nonlinear Schrodinger equation
D. Chiron, F. Rousset
We justify rigorously the convergence of the amplitude of solutions of Nonlinear-Schrödinger type Equations with non zero limit at infinity to an asymptotic regime governed by the…
math.AP2006
Transverse nonlinear instability for two-dimensional dispersive models
F. Rousset, N. Tzvetkov
We present a method to prove nonlinear instability of solitary waves in dispersive models. Two examples are analyzed: we prove the nonlinear long time instability of the KdV solita…