THREE LONG WAVE ASYMPTOTIC REGIMES FOR THE NONLINEAR SCHRODINGER EQUATION.

David Chiron (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

We survey some recent results related to three long wave asymptotic regimes for the Nonlinear-Schrödinger Equation: the Euler regime corresponding to the WKB method, the linear wave regime and finally the KdV/KP-I asymptotic dynamics.

Domaines: Equations aux dérivées partielles [math.AP]

David Chiron. THREE LONG WAVE ASYMPTOTIC REGIMES FOR THE NONLINEAR SCHRODINGER EQUATION.. Singularities in nonlinear evolution phenomena and applications, 2008, Pisa, Italy. pp.107-138. ⟨hal-00809153⟩