The analytic theory of periodic anomalous waves of the nonlinear Schroedinger model.

by Paolo Maria Santini (Universita` "La Sapienza")

Monday 18 May 2020, 14:30 → 16:30 Europe/Rome

Aula Conversi (Dip. di Fisica - Edificio G. Marconi)

IL SEMINARIO VERRA' SVOLTO IN MODALITA' TELEMATICA.

Link per il collegamento: https://meet.google.com/pip-kvzt-fkz

The focusing Nonlinear Schroedinger (NLS) equation is the simplest model describing the modulation instability (MI) of quasi monochromatic waves in weakly nonlinear media, and MI is considered the main physical mechanism for the appearance of anomalous waves (AWs) in nature. We present the solution, to leading order, of the NLS Cauchy problem for periodic initial perturbations of the unstable background solution, in the case of a finite number of unstable modes, and some of its consequences.