  We show that a soliton scattered by an external delta potential splits into
two solitons and a radiation term. Theoretical analysis gives the amplitudes
and phases of the reflected and transmitted solitons with errors going to zero
as the velocity of the incoming soliton tends to infinity. Numerical analysis
shows that this asymptotic relation is valid for all but very slow solitons. We
also show that the total transmitted mass, that is the square of the $L^2$ norm
of the solution restricted on the transmitted side of the delta potential is in
good agreement with the quantum transmission rate of the delta potential.
  This paper is a numerical companion to our analytical paper on the same
topic, "Fast soliton scattering by delta impurities," math.AP/0602187.
