Creeping solitons of the complex Ginzburg–Landau equation with a low-dimensional dynamical system model

We study creeping solitons of the complex Ginzburg–Landau equation (CGLE) using numerical simulations and analyze them with a low-dimensional model using the method of moments. We find the regions of existence of creeping solitons in the parameter space of the CGLE. We also provide a comparison with exact results obtained using numerical simulations.