Simple harmonic and damped motions of dissipative solitons in two-dimensional complex Ginzburg-Landau equation supported by an external V-shaped potential

Liu, Bin, Bo, Wan, Liu, Jiandong, Liu, Juan, Shi, Jiu-lin, Yuan, Jinhui, He, Xing-Dao and Wu, Qiang (2021) Simple harmonic and damped motions of dissipative solitons in two-dimensional complex Ginzburg-Landau equation supported by an external V-shaped potential. Chaos, Solitons & Fractals, 150. p. 111126. ISSN 0960-0779

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Official URL: https://doi.org/10.1016/j.chaos.2021.111126

Abstract

Dissipative solitons based on the complex Ginzburg-Landau (CGL) model show many novel dynamic properties. In this paper, a series of novel simple harmonic and damped motion dynamics of soliton supported by induced V-shaped potential in the cubic-quintic CGL model was investigated. Without viscosity, the role of these potential wells in stabilizing dissipative soliton forms periodic oscillation, just like simple harmonic motion. The influence of potential slope and oscillating amplitude on the period and momentum of simple harmonic motion were numerically analyzed. By adding a small diffusivity term (viscosity) into the CGL model, a significant damping effect is applied to the simple harmonic motion of dissipative solitons. The evolution mechanism of the energy and momentum during the simple harmonic motion and the damped motion was numerically studied. In addition, the energy gain/loss in the CGL model has no impact on the dynamical evolution of simple harmonic motion and damped motion of dissipative solitons.

Item Type: Article
Additional Information: Funding Information: This work was supported by the National Natural Science Foundations of China (grant no. 61665007 , 11864025 and 62065013 ) and the Natural Science Foundation of Jiangxi (grant no. 20192ACBL21051 ).
Uncontrolled Keywords: Damped motion, Dissipative system, Ginzburg-Landau, Optical soliton, Simple harmonic motion
Subjects: F300 Physics
F500 Astronomy
G900 Others in Mathematical and Computing Sciences
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Rachel Branson
Date Deposited: 10 Dec 2021 10:41
Last Modified: 10 Dec 2021 10:45
URI: http://nrl.northumbria.ac.uk/id/eprint/47953

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