Kolmogorov spectra in one-dimensional weak turbulence

Abstract
In this article, we report the results of our numerical simulation of a one-dimensional modified MMT model, which includes the processes of “one-to-three” wave interactions. We show that this model, with properly chosen parameters, behaves according to the weak-turbulence theory. In particular, it demonstrates the validity of the Kolmogorov spectrum over a wide range of wave numbers.

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