  We compute lateral displacements and time-delays for a scattering processes
of complex multi-soliton solutions of the Korteweg de-Vries equation.The
resulting expressions are employed to explain the precise distinction between
solutions obtained from different techniques, Hirota's direct method and a
superposition principle based on Baecklund transformations. Moreover they
explain the internal structures of degenerate compound multi-solitons
previously constructed. Their individual one-soliton constituents are
time-delayed when scattered amongst each other. We present generic formulae for
these time-dependent displacements. By recalling Gardner's transformation
method for conserved charges, we argue that the structure of the asymptotic
behaviour resulting from the integrability of the model together with its
PT-symmetry ensure the reality of all of these charges, including in particular
the mass, the momentum and the energy.
