Anomalous Diffusion of Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation in Two Spatial Dimensions

Jaime Cisternas, Orazio Descalzi, Tony Albers, and Günter Radons
Phys. Rev. Lett. 116, 203901 – Published 19 May 2016
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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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  • Received 22 February 2016

DOI:https://doi.org/10.1103/PhysRevLett.116.203901

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Atomic, Molecular & Optical

Authors & Affiliations

Jaime Cisternas1,*, Orazio Descalzi1, Tony Albers2, and Günter Radons2

  • 1Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Monseñor Alvaro del Portillo 12455, Las Condes, Santiago, Chile
  • 2Institute of Physics, Technische Universität Chemnitz, 09107 Chemnitz, Germany

  • *Corresponding author. jecisternas@miuandes.cl

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Issue

Vol. 116, Iss. 20 — 20 May 2016

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