  Fast and efficient numerical-analytical approach is proposed for modeling
complex collective behaviour in accelerator/plasma physics models based on
BBGKY hierarchy of kinetic equations. Our calculations are based on variational
and multiresolution approaches in the bases of polynomial tensor algebras of
generalized coherent states/wavelets. We construct the representation for
hierarchy of reduced distribution functions via the multiscale decomposition in
high-localized eigenmodes. Numerical modeling shows the creation of different
internal coherent structures from localized modes, which are related to
stable/unstable type of behaviour and corresponding pattern (waveletons)
formation.
