Soliton turbulences in the complex Ginzburg-Landau equation

Details Soliton turbulences in the complex Ginzburg-Landau equation Soliton turbulences in the complex Ginzburg-Landau equation

2007-07-02

arxiv.org/abs/0707.0141v1

Nonlinear Sciences

Pattern Formation and Solitons

5 figures

Scientific paper

10.1103/PhysRevE.76.017205

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 Schr\"odinger 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.

Affiliated with

Also associated with

No associations

Rating

Soliton turbulences in the complex Ginzburg-Landau equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Soliton turbulences in the complex Ginzburg-Landau equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Soliton turbulences in the complex Ginzburg-Landau equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-692343