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

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

15 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	203901
Publicación	Physical Review Letters
Volumen	116
N.º	20
DOI	https://doi.org/10.1103/PhysRevLett.116.203901
Estado	Publicada - 19 may. 2016

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© 2016 American Physical Society.

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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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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: {\textcopyright} 2016 American Physical Society.",

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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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KW - Convection

KW - Laser

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

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