[en] Collective excitations in nuclear matter with effective interaction of Skyrme's type are studied. The existence of four (O, S, i, Si) branches both longitudinal and transverse excitation is discovered. An analytical solution for the particle hole Green's function in the random phase approximation with residual interaction generated by initial effective interaction is build. Dispersion laws for collective excitations with various quantum numbers are found. The results dependence on selection of various set of effective interaction parameters are analysed. The results obtained may be very useful in discussing the stability of collective oscillations in nuclear matter