  In this paper we develop a method capable of modeling the space-time focusing
of nondiffracting pulses. The new pulses can possess arbitrary peak velocities
and, in addition to being resistant to diffraction, can have their peak
intensities and focusing positions chosen a priori. More specifically, we can
choose multiple locations (spatial ranges) of space/time focalization; also,
the pulse intensities can be chosen in advance. The pulsed wave solutions
presented here can have very interesting applications in many different fields,
such as free-space optical communications, remote sensing, medical apparatus,
etc.
