Amplitude wave in one-dimensional complex Ginzburg–Landau equation

doi:10.1088/1674-1056/20/11/110503

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110503-110503.doi: 10.1088/1674-1056/20/11/110503

Amplitude wave in one-dimensional complex Ginzburg–Landau equation

谢玲玲, 高加振, 谢伟苗, 高继华

Shenzhen Key Laboratory of Special Functional Materials, College of Materials, Shenzhen University, Shenzhen 518060, China

收稿日期:2011-04-11 修回日期:2011-06-24 出版日期:2011-11-15 发布日期:2011-11-15

Amplitude wave in one-dimensional complex Ginzburg–Landau equation

Xie Ling-Ling (谢玲玲), Gao Jia-Zhen (高加振),Xie Wei-Miao (谢伟苗), and Gao Ji-Hua (高继华)^†

Shenzhen Key Laboratory of Special Functional Materials, College of Materials, Shenzhen University, Shenzhen 518060, China

Received:2011-04-11 Revised:2011-06-24 Online:2011-11-15 Published:2011-11-15

摘要/Abstract

摘要： The wave propagation in the one-dimensional complex Ginzburg-Landau equation (CGLE) is studied by considering a wave source at the system boundary. A special propagation region, which is an island-shaped zone surrounded by the defect turbulence in the system parameter space, is observed in our numerical experiment. The wave signal spreads in the whole space with a novel amplitude wave pattern in the area. The relevant factors of the pattern formation, such as the wave speed, the maximum propagating distance and the oscillatory frequency, are studied in detail. The stability and the generality of the region are testified by adopting various initial conditions. This finding of the amplitude pattern extends the wave propagation region in the parameter space and presents a new signal transmission mode, and is therefore expected to be of much importance.

Abstract: The wave propagation in the one-dimensional complex Ginzburg-Landau equation (CGLE) is studied by considering a wave source at the system boundary. A special propagation region, which is an island-shaped zone surrounded by the defect turbulence in the system parameter space, is observed in our numerical experiment. The wave signal spreads in the whole space with a novel amplitude wave pattern in the area. The relevant factors of the pattern formation, such as the wave speed, the maximum propagating distance and the oscillatory frequency, are studied in detail. The stability and the generality of the region are testified by adopting various initial conditions. This finding of the amplitude pattern extends the wave propagation region in the parameter space and presents a new signal transmission mode, and is therefore expected to be of much importance.

Key words: wave propagation, complex Ginzburg-Landau equation, amplitude wave

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

82.40.Ck (Pattern formation in reactions with diffusion, flow and heat transfer) 42.25.Bs (Wave propagation, transmission and absorption)

谢玲玲, 高加振, 谢伟苗, 高继华. Amplitude wave in one-dimensional complex Ginzburg–Landau equation[J]. 中国物理B, 2011, 20(11): 110503-110503.

Xie Ling-Ling (谢玲玲), Gao Jia-Zhen (高加振),Xie Wei-Miao (谢伟苗), and Gao Ji-Hua (高继华) . Amplitude wave in one-dimensional complex Ginzburg–Landau equation[J]. Chin. Phys. B, 2011, 20(11): 110503-110503.

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Amplitude wave in one-dimensional complex Ginzburg–Landau equation

Amplitude wave in one-dimensional complex Ginzburg–Landau equation

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