2007/07/02 by Hidetsugu Sakaguchi
Agricultural and Biological Sciences · Computer Science · Physics and Astronomy · #Advanced Fiber Laser Technologies #Amplitude #Classical mechanics #Integrable system #Mathematical physics #Mechanics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Physics #Plant and animal studies #Quantum mechanics #Range (aeronautics) #Soliton #Statistical physics #Turbulence #Viscosity #nlin.CD #nlin.PS
paper · pdf · doi:10.1103/physreve.76.017205
5 figures
arxiv created 2007/07/02 · openalex publication_date 2007/07/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study spatiotemporal chaos in the complex Ginzburg-Landau equation in parameter regions of weak amplification and viscosity. Turbulent states involving many solitonlike pulses appear in the parameter range, because the complex Ginzburg-Landau equation is close to the nonlinear Schrödinger equation. We find that the distributions of amplitude and wave number of pulses depend only on the ratio of the two parameters of the amplification and the viscosity. This implies that a one-parameter family of soliton turbulence states characterized by different distributions of the soliton parameters exists continuously around the completely integrable system.