TY - JOUR
T1 - Anomalous Diffusion of Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation in Two Spatial Dimensions
AU - Cisternas, Jaime
AU - Descalzi, Orazio
AU - Albers, Tony
AU - Radons, Günter
PY - 2016/5/19
Y1 - 2016/5/19
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevLett.116.203901
DO - 10.1103/PhysRevLett.116.203901
M3 - Article
VL - 116
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 20
ER -