  The problem of wave breaking during its propagation in the Bose-Einstein
condensate to a stationary medium is considered for the case when the initial
profile at the breaking instant can be approximated by a power function of the
form $(-x)^{1/n}$. The evolution of the wave is described by the
Gross-Pitaevskii equation so that a dispersive shock wave is formed as a result
of breaking; this wave can be represented using the Gurevich-Pitaevskii
approach as a modulated periodic solution to the Gross-Pitaevskii equation, and
the evolution of the modulation parameters is described by the Whitham
equations obtained by averaging the conservation laws over fast oscillations in
the wave. The solution to the Whitham modulation equations is obtained in
closed form for $n = 2,3$, and the velocities of the dispersion shock wave
edges for asymptotically long evolution times are determined for arbitrary
integer values $n > 1$. The problem considered here can be applied for
describing the generation of dispersion shock waves observed in experiments
with the Bose-Einstein condensate.
