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

Chang, WonkeunAnkiewicz, AdrianAkhmediev, Nail2015-12-070375-9601http://hdl.handle.net/1885/17183We 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. CrownKeywords: Dissipative soliton; Ginzburg-Landau equation; Method of momentsCreeping solitons of the complex Ginzburg-Landau equation with a low-dimensional dynamical system model200710.1016/j.physleta.2006.10.0032015-12-07