Abstract
Presently, theory of plasma turbulence [1, 431, 432] is well developed; the key feature which allows us to construct it is the so-called random phase approximation applied to Gaussian distributed quantities [431]. Thus this theory is valid only for systems with developed stochasticity [431, 432] when wave phases are random, arbitrary wave motion can be represented as a linear superposition of oscillation modes, and the wave packet slowly changes in time due to interaction with other packets and/or plasma particles. However, such an approach is correct only if the wave amplitudes are sufficiently small. As the amplitudes grow, nonlinear interactions between different modes in the wave packet become significant. In particular, the modulational interaction results in amplification of phase correlations between different modes of the packet, and finally the strongly turbulent state is established. The growth of the wave phase correlations can result in the appearance of the coherent structures such as solitons, collapsing wave packets, etc.
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