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.
Bibliographical noteFunding Information:
J. C. and O. D. are thankful for the support of FONDECYT (Chile, Grants No. 1140143 and No.1140139) and the Research Office, Universidad de los Andes, Chile.
© 2016 American Physical Society.