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We propose an evolution equation for unintegrated gluon densities that isvalid for large values of the QCD coupling constant $\bar{\alpha} _s$. Ourapproach is based on the linear resummation model introduced by Sta\'{s}to. Wegeneralize the model including a non-linear term in the diffusive regime. Thevalidity of the diffusive evolution at strong coupling is supported by theAdS/CFT consideration, as well as perturbative arguments. We solve theevolution equation numerically and extract the saturation scale, which wecompare with the weak coupling counterpart.

Non-linear evolution of unintegrated gluon density at large values of coupling constant