Bound states and interactions of vortex solitons in the discrete Ginzburg-Landau equation

Mario Molina, R.A. Vicencio, J. M. Soto-Crespo and Cristian Mejía-Cortés


By using di erent 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 solutions have a symmetric amplitude pro le and two di erent topological charges. We analyze several interactions scenarios among them and nd stable asymmetric bound states. Moreover, we are able to obtain a variety of stable composite structures by putting together several vortex solutions and letting them to evolve. All these structures persist in the conservative cubic limit, for high values of their power content.


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