  In the study of weakly turbulent wave systems possessing incomplete
self-similarity it is possible to use dimensional arguments to derive the
scaling exponents of the Kolmogorov-Zakharov spectra, provided the order of the
resonant wave interactions responsible for nonlinear energy transfer is known.
Furthermore one can easily derive conditions for the breakdown of the weak
turbulence approximation. It is found that for incompletely self-similar
systems dominated by three wave interactions, the weak turbulence approximation
usually cannot break down at small scales. It follows that such systems cannot
exhibit small scale intermittency. For systems dominated by four wave
interactions, the incomplete self-similarity property implies that the scaling
of the interaction coefficient depends only on the physical dimension of the
system. These results are used to build a complete picture of the scaling
properties of the surface wave problem where both gravity and surface tension
play a role. We argue that, for large values of the energy flux, there should
be two weakly turbulent scaling regions matched together via a region of
strongly nonlinear turbulence.
