Analytic and numerical investigations are reported of the self-interaction of a randomly
modulated light pulse subject to quadratic and cubic dispersion. An analysis is made of the
influence of the third-order dispersion on the dynamics of transformation of such characteristics
of a pulse as the time envelope of the intensity, duration, shift of the energy center, frequency
spectrum, coherence time, dispersion of intensity fluctuations, and mode composition of the
radiation. A comparison is made of the results obtained by analytic and numerical methods.