  A generalization of the negative Camassa-Holm hierarchy to 2+1 dimensions is
presented under the name CHH(2+1). Several hodograph transformations are
applied in order to transform the hierarchy into a system of coupled CBS
(Calogero-Bogoyavlenskii-Schiff) equations in 2+1 dimensions that pass the
Painleve test. A non-isospectral Lax pair for CHH(2+1) is obtained through the
above mentioned relationship with the CBS spectral problem..
