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We consider an integrable hierarchy of nonlinear evolution equations (NLEE) related to linear bundle Lax operator L. The Lax representation is Z 2 × Z 2 reduced and is naturally associated with the symmetric space SU (3)/S(U (1) × U (2)). The simplest nontrivial equation in the hierarchy is a generalization of Heisenberg ferromagnetic model. We construct the N -soliton solutions for an arbitrary member of the hierarchy by using the Zakharov-Shabat dressing method with an appropriately chosendoi:10.7546/giq-13-2012-11-42 fatcat:kzuxet7vo5bczp2rfxzkmw3xji