  The gluon condensation predicted by a nonlinear QCD evolution equation can
naturally explain the typical broken power law in the $\gamma$-ray spectra at
very high energy. This result is used to perfect the incomplete spectra HESSs
J1826-130, J1641-463 and J1741-302. We show the distinctive characteristics of
these spectra, which are different from the other spectra models and they can
be tested by further observations.
