Transition between Weak and Strong Turbulence Observed in Complex Ginzburg-Landau Equation with a Quintic Nonlinearity

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  • Transition between Weak and Strong Turb

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One-dimensional complex Ginzburg-Landau equation is examined numerically. Three types of turbulent states are observed as dissipative effects decrease. The first state is a weak chaos driven by modulational instability. The second one is a turbulent state characterized by the occurrence of relatively small bursts. The last one is a strongly intermittent turbulence dominated by bursts which blow up, getting close to a singular solution of the 1D nonlinear Schrödinger equation, till dissipation starts to work.

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