Inverse problems for nonlinear transport or the one-way wave equation
in one spatial dimension are considered. Analytic solutions to the inv
erse problems are given and it is shown, for some signalling problems,
that the inverse problem of determination of a wave speed functional
is well-posed, and that the wave speed can be uniquely determined. How
ever, it is shown that the inverse problems of reconstruction of a sou
rce functional are ill-posed, although the source is still uniquely de
termined.