Wave dynamics in a modified quintic complex Ginzburg-Landau system

We consider physical systems described by the modified quintic complex Ginzburg-Landau equation and its derivative forms and examine numerically the dynamics of its shock type wave solution. Discussions on the behaviours of this shock wave are introduced and it is shown how the ratios of diverse velocities of this wave could be exploited to explain and collect information concerning the spatial patterns formation in the system.