  The nonlinear dynamics of a Bose-Einstein condensate (BEC) of dipolar
excitons trapped in an external confining potential in coupled quantum wells is
analysed. It is demonstrated that under typical experimental conditions the
dipolar excitons BEC can be described by a generalized Gross-Pitaevskii
equation with the local interaction between the excitons, which depends on the
exciton distribution function. It is shown that, if the system is pumped at
sufficiently high frequencies, a steady turbulent state can be formed.
