The self-consistent mode-coupling approximation of Colaiori and Moore [Phys. Rev. Lett. 86 (2001) 3946] is generalized to the analysis of the Sun–Guo–Grant equation to investigate its dynamic scaling properties in the strong-coupling regime. The corresponding values of the dynamic exponents are calculated for the substrate dimension d = 1 and 2, respectively, and are also compared with previous analytical and numerical results. It can be seen that our discussion and calculation made in present paper are reasonable and reliable.
