We study the local propagation of conormal singularities for solutions of semilinear wave
equations
, where
is a polynomial
of degree
in
with
coefficients. We know from the work of Melrose and Ritter and Bony that
if
is conormal to three waves which intersect transversally at point
, then after the
triple interaction
is a conormal distribution with respect to the three waves and the characteristic cone
with vertex at
. We compute the
principal symbol of
at the cone and away from the hypersurfaces. We show that if
, then
is an elliptic conormal distribution.
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