Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics

We present a class of periodic solutions the non-chiral intermediate Heisenberg ferromagnet (ncIHF) equation, which was recently introduced by authors together with Langmann as classical, continuum limit an Inozemtsev-type spin chain. These exact analytic are constructed via spin-pole ansatz written in terms certain elliptic functions. The dynamical parameters our solve Calogero-Moser (CM) system subject to constraints. In course construction, we establish novel B\"acklund transformation for this constrained CM system.