Study of the evolution of different dissipative solitons and phase measurement by Mach-Zehnder interferometry

We have studied numerically the evolution of soliton configurations according to the complex Ginzburg-Landau equation in presence of cubic-quintic non linearities in a 2-dimensional periodic potential. The aim was to establish a parameter "map" to predict experiments to be achieved using a Mach-Zehnder coupled to a "Spatial Light Modulator" into one arm for output phase measurements in order to fully characterize the soliton propagation.