  In this paper, we study one of generalized Heisenberg ferromagnet equations
with self-consistent sources, namely, the so-called M-CIV equation with
self-consistent sources (M-CIVESCS). The Lax representation of the M-CIVESCS is
presented. We have shown that the M-CIVESCS and the CH equation with
self-consistent sources (CHESCS) is geometrically equivalent each to other. The
gauge equivalence between these equations is proved. Soliton (peakon) and
pseudo-spherical surfaces induced by these equations are considered. The one
peakon solution of the M-CIVESCS is presented.
