Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. II. Special Solutions

This paper is a continuation of our previous work in which we studied sl(3) Zakharov-Shabat type auxiliary linear problem with reductions Mikhailov and the integrable hierarchy nonlinear evolution equations associated it. Now, shall demonstrate how one can construct special solutions over constant background through Zakharov-Shabat's dressing technique. That approach will be illustrated on example generalized Heisenberg ferromagnet equation related to for sl(3). In doing this, discuss difference between Hermitian pseudo-Hermitian cases.