Waves, Solitons and Turbulence in Optical Systems - Abstract

Arnaudon, Alexis

On a deformation of the nonlinear Schrödinger equation

I will present recent results on a deformation of the well-known nonlinear Schrödinger equation, following my recent arXiv paper arXiv:1507.02591. Although the complete integrability of this equation is still an open problem, this equation has interesting solutions such as solitary waves with near elastic collisions, Rogue wave events and peaked standing waves. Finally, because the important question of the physical interpretation of this equation is a difficult and interesting problem, it will be addressed to the audience.