Simple harmonic and damped motions of dissipative solitons in two-dimensional complex Ginzburg-Landau equation supported by an external V-shaped potential
Simple harmonic and damped motions of dissipative solitons in two-dimensional complex Ginzburg-Landau equation supported by an external V-shaped potential
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外部 V 形势支持的二维复数 Ginzburg-Landau 方程中耗散孤子的简谐运动和阻尼运动
DOI：
10.1016/j.chaos.2021.111126
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发表时间：
2021-09
影响因子：
7.8
通讯作者：
Qiang Wu
中科院分区：
文献类型：
--
作者：
Bin Liu;Bo Wan;Ji;ong Liu;Juan Liu;Jiu-Lin Shi;Jinhui Yuan;Xing-Dao He;Qiang Wu
基于复Ginzburg-Landau(CGL)模型的耗散孤子表现出许多新的动力学性质。本文研究了三次-五次CGL模型中V形势支撑的孤子的一系列简谐和阻尼型运动动力学。在没有粘性的情况下，这些势垒对稳定耗散孤子的作用形成周期振荡，就像简谐运动一样。数值分析了电势斜率和振动幅度对简谐运动周期和动量的影响。通过在CGL模型中加入一个小的扩散系数项(粘性)，对耗散孤子的简谐运动施加了显著的阻尼效应。数值研究了简谐运动和阻尼运动过程中能量和动量的演化机制。此外，CGL模型中的能量增益/损耗对耗散孤子的简谐运动和阻尼运动的动力学演化没有影响。
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.
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影响因子：
1.7
作者：
A. Doelman;G. Hek;N. Valkhoff
通讯作者：
A. Doelman;G. Hek;N. Valkhoff
DOI：
10.1364/josab.15.000515
发表时间：
1998-02-01
影响因子：
1.9
作者：
Akhmediev, NN;Ankiewicz, A;Soto-Crespo, JM
通讯作者：
Soto-Crespo, JM
影响因子：
1.7
作者：
Gholam-Ali Zakeri;E. Yomba
通讯作者：
Gholam-Ali Zakeri;E. Yomba
影响因子：
3.8
作者：
B. Liu;Yun-Feng Liu;Xingdao He
通讯作者：
B. Liu;Yun-Feng Liu;Xingdao He
DOI：
10.1103/physreve.84.056607
发表时间：
2011-11
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
B. Liu;Xingdao He;Shujing Li
通讯作者：
B. Liu;Xingdao He;Shujing Li