  An external static magnetic field with its strength B~10T may result in the
laser wake wave-breaking upon changing the electron motion in the vicinity of
maximal density ramp of a wave period. This, as shown by numerical simulations,
can change the resonance character of the electron self-injection in the laser
wake-field; a total charge loaded in the acceleration phase of laser pulse wake
can be controlled by a proper choice of the magnetic field strength.
