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

doi:10.1103/PhysRevLett.116.203901

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English
Article number	203901
Journal	Physical Review Letters
Volume	116
Issue number	20
DOIs	https://doi.org/10.1103/PhysRevLett.116.203901
State	Published - 19 May 2016

Bibliographical note

Funding 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.

Publisher Copyright:
© 2016 American Physical Society.

Keywords

Random-walks
Convection
Laser

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10.1103/PhysRevLett.116.203901

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

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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AU - Albers, Tony

AU - Radons, Günter

N1 - Funding 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. Publisher Copyright: © 2016 American Physical Society.

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

Abstract

Bibliographical note

Keywords

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