Novel space-time solutions to general classes of wave equations and their properties are reviewed. The localized-wave (LW) solutions, in contrast to their continuous-wave (CW) or monochromatic counterparts, exhibit enhanced localization and energy fluence characteristics. This has led to the analysis and construction of pulse-driven, independently addressable arrays to investigate nonstandard methods of wave energy transmission based upon these LW solutions. Such arrays allow different signals to be transmitted from different locations in the array, thus allowing shading of the spectral features as well as the amplitudes seen by the array. It has been shown experimentally that the beams transmitted by these LW pulse-driven arrays outperform conventional CW driven arrays.