Abstract: | Self-similar solutions, obtained by means of non-linear hydrodynamic equations, describing the picture of the time-dependant discs accretion. Some of the solutions describe the evolution of the accumulating disc, which is created around the neutron star with a strong magnetic field. Others give the time evolution of the initial narrow material ring, thrown at a certain distance around the gravitation centre. Practically all problems of the time-dependant disc accretion, asymptotically come to the above mentioned solutions.It is shown that the time-dependant disc accretion of the gas of the neutron star from the accumulating disc cause recurrent X-ray outbursts. The fall of the X-ray luminosity at the maximum stage depends of the time to a certain degree; is near the ones which are observed in the time-dependant X-ray sources. The model of the time-dependant X-ray sources is explained in the framework of the time-dependant disc accretion of magnetized neutron star with a strong magnetic field. |