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Many new models of wave turbulence -- frozen, mesoscopic, laminated,decaying, sand-pile, etc. -- have been developed in the last decade aiming tosolve problems seemingly not solvable in the framework of the existing waveturbulence theory (WTT). In this Letter we show that very often the reason ofthese discrepancies is that some necessary conditions of the WTT are notsatisfied: initial energy distribution is not according to the assumptions ofthe theory; nonlinearity is not small enough; duration of an experiment is notsufficient to observe kinetic time scale; etc. Two alternative models arebriefly presented which can be used to interpret experimental data, both givingpredictions at the dynamical time scale: a) a dynamical energy cascade, forsystems with narrow initial excitation and weak and moderate nonlinearity, andb) an effective evolution equation, for systems with distributed initial stateand small nonlinearity.

What can go wrong when applying wave turbulence theory