We present numerical solutions of a two-dimensional inviscid Burgers equati
on which provides an asymptotic description of the Mach reflection of weak
shocks. Tn our numerical solutions, the incident, reflected, and Mach shock
s meet at a triple point, and there is a supersonic patch behind the triple
point, as proposed by Guderley for steady weak-shock reflection. A theoret
ical analysis indicates that there is an expansion fan at the triple point,
in addition to the three shocks. The supersonic patch is extremely small,
and this work is the first time it has been resolved.