Complex PT -symmetric multi-particle Calogero-type systems are shown
obtainable from the real solutions of nonlinear wave equations. The
procedure is exemplified via the initial choice of the Boussinesq
equation for which the singularities in the real-valued wave
solutions are reinterpreted as an $N-$plet of complexified
Calogero-type particles in the scattering mode. Particular attention
is paid to the implementation of the so called ${\cal PT}-$ (i.e.,
parity times time reversal) symmetry and to the complex $N=2$ and
$N=3$ systems. Classical solutions are also derived. As the third
alternative to the two existing construction recipes offered by
refs. [8] and [12] the new idea looks at least equally productive.
The authors find the most promising immediate future projects both
in the use of the next-step $N > 3$ solitons and/or in some other
choices of initial nonlinear wave equations, e.g., of KdV family.

MR2546044 Assis, Paulo E. G.; Fring, Andreas From real fields to
complex Calogero particles. J. Phys. A 42 (2009), no. 42, 425206, 14
pp. 81Qxx