Study of a nonlinear, non-dispersive, completely integrable equation and its perturbations
Study of a nonlinear, non-dispersive, completely integrable equation and its perturbations
In this Ph.D. thesis, we study the Szego equation on the real lineas well as its perturbations.It was recently introduced by Gerard and Grellier as a toy model of a non-lineartotally non dispersive equation. The Szego equation appears naturally in the study of thenon-linear Schrodinger equation (NLS) in super-critical situations …