The explicit solutions of a wave equation in 3 dimensions found by Moses and Prosser (1990) and called 'bullets' are studied in detail. These solutions behave for t/spl rarr/+/spl infin/ as the characteristic function of an intersection of the annulus ct+a>r>ct+b and the circular cone divided by r, where r is the spherical radius, c is the wave speed, a, b=const, a>b. We establish that such a solution tends to a plane wave when the cone becomes narrow.
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