We consider a matrix nonlinear partial differential equation that generalizes Heisenberg ferromagnet equation. This generalized Heisenberg ferromagnet equation is completely integrable with a linear bundle Lax pair related to the pseudo-unitary algebra of arbitrary rank. This allows us to explicitly derive its particular solutions by using dressing technique. We discuss two classes of solutions over constant background: soliton-like solutions and quasi-rational solutions. Both classes have analogues in the case of the Heisenberg ferromagnet equation for the same Lie algebra and are new even in that special case.
Tihomir Valchev (Thu,) studied this question.