New invariant for drift turbulence

A new invariant for drift wave (or Rossby wave) turbulence in two cases, (1) in zonal flow and (2) in the large scale range, is discovered. This invariant is proved to be a unique additional invariant (besides energy and momentum). Thus the first examples of wave systems with a finite number of additional invariants are obtained. A new Kolmogorov-type spectrum with the flux of the additional invariant through the scales is derived and the structure of fluxes in the k-space of invariants is analyzed.