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

Bin Liu*, Wan Bo, Jiandong Liu, Juan Liu, Jiu lin Shi, Jinhui Yuan, Xing Dao He, Qiang Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Article number111126
Number of pages6
JournalChaos, Solitons and Fractals
Volume150
Early online date20 Jun 2021
DOIs
Publication statusPublished - 1 Sep 2021

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