  We present experiments performed in a recirculating fiber loop in which we
realize the single-shot observation of the space and time interaction of two
and three bright solitons. The space-time evolutions observed in experiments
provide clear evidence of a nearly-integrable nonlinear wave dynamics that can
be easily interpreted within the framework of the inverse scattering transform
(IST) method. In particular collisions between solitons are found to be almost
perfectly elastic in the sense that they occur without velocity change and with
only a position (time) shift quantitatively well described by numerical
simulations of the integrable nonlinear Schr\"odinger equation. Additionally
our experiments provide the evidence that the position (time) shifts arising
from the interaction among three solitons are determined by elementary pairwise
interactions, as it is well known in the IST theory.
