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arXiv · 1803.08439

Anomalous diffusion of dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation in two spatial dimensions

Jaime Cisternas·Orazio Descalzi·Tony Albers·Günter Radons
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Abstract

We demonstrate the occurrence of anomalous diffusion of dissipative solitons in a `simple' and deterministic prototype model: the cubic-quintic complex Ginzburg-Landau equation in two spatial dimensions. The main features of their dynamics, induced by symmetric-asymmetric explosions, can be modeled by a subdiffusive continuous-time random walk, while in the case dominated by only asymmetric explosions it becomes characterized by normal diffusion.

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Jaime Cisternas, Orazio Descalzi, Tony Albers, Günter Radons. 2018-03-22. Anomalous diffusion of dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation in two spatial dimensions. https://doi.org/10.1103/physrevlett.116.203901

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