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arXiv · 1111.1087

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

Cristian Mejía-Cortés·J. M. Soto-Crespo·Rodrigo A. Vicencio·Mario I. Molina
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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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Cristian Mejía-Cortés, J. M. Soto-Crespo, Rodrigo A. Vicencio, Mario I. Molina. 2011-11-04. Multiplicity of vortex soliton families in the discrete Ginzburg-Landau equation, their interactions and the formation of bound states. https://arxiv.org/abs/1111.1087

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