Seminar “Nonlinear waves”

The next session of academician V.E.Zakharov seminar “Nonlinear waves” will be translated at on Wednesday, May 27th at 14:30.
“Adiabatically growing integrable turbulence”
            D.S. Agafontsev (1,2), V.E. Zakharov (2,3).1 – Shirshov Institute of Oceanology of RAS, 117997 Moscow, Russia.
2 – Skolkovo Institute of Science and Technology, 121205 Moscow, Russia.
3 – Department of Mathematics, University of Arizona, 857201 Tucson, AZ, USA.

We study numerically the integrable turbulence in the framework of the focusing one-dimensional nonlinear Schrodinger equation using a new method – the “growing of turbulence”. We add to the equation a weak controlled pumping term and start adiabatic evolution of turbulence from statistically homogeneous Gaussian noise. After reaching a certain level of average intensity, we switch off the pumping and realize that the “grown up” turbulence is statistically stationary. We measure its Fourier spectrum, the probability density function (PDF) of intensity and the autocorrelation of intensity. Additionally, we show that, being adiabatic, our method produces stationary states of the integrable turbulence for the intermediate moments of pumping as well.

Questions to Andrei Pushkarev, , +7(909)949-96-13
E.A.Kuznetsov, A.N. Pushkarev
Date Speaker Title
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