Increasing the pulse area of the excitation field, a transition from quantum strong
coupling to coherent classical regime is observed, which manifests itself in a formation
of the famous Mollow triplet, with the observation in the three-level model
of a quantum dot, including a biexciton, to predict two new effects: One is the
existence of a Mollow-like quintuplet, the other is a complete elimination of the
four-wave-mixing optical non-linearity under certain parameter constraints. We
further develop a simple and accurate approximation in the low-damping limit of the
Jaynes-Cummings model of the quantum dot-microcavity system, for nonlinear
response of any order in a closed analytic form, predicting the positions and widths
of the spectral lines. For higher damping, we demonstrate a strong relaxation down
the ladder, shown by both numerical and analytic calculation.