  Compatible local differential-geometric Poisson brackets of the first order
(Dubrovin-Novikov type) are classified by solutions of modified Sinh-Gordon
equation. It was proved by E.V. Ferapontov. In this paper integrable system
describing compatible non-local differential-geometric Poisson brackets of the
first order (Ferapontov type) is presented in case when one metric is flat and
another one has co-dimension 1. This is a reduction of the Cherednik model
(chiral fields).
