Multiplicity of vortex soliton families in the discrete Ginzburg-Landau equation, their interactions and the formation of bound states

2011/11/04 by Mejía-Cortés, Cristian, Soto-Crespo, J. M., Vicencio, Rodrigo A. +1
#FOS: Physical sciences #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS)

paper · doi:10.48550/arxiv.1111.1087

Abstract

By using different continuation methods, we unveil a wide region in the parameter space of the discrete cubic-quintic complex Ginzburg-Landau equation, where several families of stable vortex solitons coexist. All these stationary solutions have a symmetric amplitude profile and two different topological charges. We also discover the dynamical formation of a variety of 'bound-state' solutions, composed of two or more of these vortex solitons. All of these stable composite structures persist in the conservative cubic limit, for high values of their power content.

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