Abstract
Generic fetures of nonlinear wave interaction in continuous plasma-like media are studied. Relationship between conservation laws, symmetries and directions of turbulent mode cascades in anisotropic media, such as inhomogeneous magnetized plasmas, is established. Momentum conservation in nonlinear interaction between collective modes results in a universal form of preferential inverse (or direct) energy cascade with respect to wavelengths. When the total wave energy is invariant in nonlinear interaction, double cascade of energy and momentum with respect to inverse phase velocities or wavelengths occurs. Cascade directions are determined by energy spectra of quasiparticles-waves. Excitation of zonal flows in nonlinear wave interaction appears to be a general consequence of energy-spectrum anisotropy. Possibility of wave condensation and subsequent turbulent instability in the sea of weakly nonlinear waves is suggested.
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