arXiv 0707.01412007-07-02nlin.PSnlin.CD

Soliton turbulences in the complex Ginzburg-Landau equation

Hidetsugu Sakaguchi

备注：: 5 figures
DOI：: 10.1103/PhysRevE.76.017205

英文摘要：

We study spatio-temporal chaos in the complex Ginzburg-Landau equation in parameter regions of weak amplification and viscosity. Turbulent states involving many soliton-like 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 wavenumber 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.

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