Séminaire MAC

Quasilinear NLS models with intensity-dependent dispersion

par Dmitry Pelinovsky

Europe/Paris
Description

I will overview models given by the quasilinear Schrodinger equation with the intensity-dependent dispersion coefficient: well-posedness, smoothness of solitary waves, and the nonlinear stability of the periodic waves. The unique focus is to derive a sharp criterion for the energetic stability of the smooth periodic waves by using the period function and the dynamical system methods.