We present the results of investigation of the phenomena of optical nutation in the system of the coherent excitons, photons and biexcitons under the action of two ultrashort pulses of the resonant laser radiation with frequencies 1 and 2  . The first pulse with a frequency 1  excites excitons from the ground state of a crystal and the second pulse with a frequency 2  converts these excitons into biexcitons. Both pulses at the same time generate biexcitons from the ground state of a crystal due to the process of two-photon absorption. We assume that duration of pulses is more less than of a relaxation times of excitons and biexcitons. In this case processes of a relaxation can be neglected.     We obtain the dispersion law of photons of a weak pulse in the exciton range of spectrum under the action of the strong pump pulse at M-band of luminescence.  are the entered frequencies of Rabi .  We obtained that in the absence of the strong pump pulse in the case 0 dispersion low of the exciton polaritons consists only of two branches. Switching of the powerful field of pump pulse leads to the appearance of three branches of the dispersion law, and the middle branch is located in the vicinity of frequency 0, whereas the upper and lower branches remind a branch of the dispersion law of the regular exciton polaritons. The increase of the field of the pump pulse the spectral region of existence of all three branches in the vicinity of an actual point of k– space extends as with the increase Rabi frequency distance between quasilevels increases. With increase of the  there appears a deformation of the upper and midвle branches of the dispersion law so. In case of ex upper and middle branches are crossed, in the case of ex  they disperse again. Such behavior of branches of the dispersion law is caused by a quantum interference of all three processes of interaction of light with excitons and biexcitons in the semiconductors. Using the received dispersion laws of it is easy to obtain the expressions describing evolution of concentration of excitons and photons     Behavior of concentration of excitons and photons is caused by the action of three oscillatory regimes. Frequencies and amplitudes of the oscillations are defined by a difference of frequencies between branches of the dispersion law. Splitting of exciton level leads to the splitting of an actual point k– space and to its relocation to the region of big resonance detuning’s and to the increase in oscillation amplitudes. Convergence and intersection of branches of the dispersion law leads to weakening of interaction between excitons and photons, and as a result to reduction of concentration of excitons at those frequencies where there was an intersection of branches of the law of dispersion