Normal and anomalous random walks of 2-d solitons

作者：Cisternas Jaime^*; Albers Tony; Radons Guenter

来源：Chaos, 2018, 28(7): 075505.

DOI：10.1063/1.5021586

Solitons, which describe the propagation of concentrated beams of light through nonlinear media, can exhibit a variety of behaviors as a result of the intrinsic dissipation, diffraction, and the nonlinear effects. One of these phenomena, modeled by the complex Ginzburg-Landau equation, is chaotic explosions, transient enlargements of the soliton that may induce random transversal displacements, which in the long run lead to a random walk of the soliton center. As we show in this work, the transition from nonmoving to moving solitons is not a simple bifurcation but includes a sequence of normal and anomalous random walks. We analyze their statistics with the distribution of generalized diffusivities, a novel approach that has been used successfully for characterizing anomalous diffusion. Published by AIP Publishing.

• 出版日期2018-7