Solutions to a Vector Heisenberg Ferromagnet Equation Related to Symmetric Spaces

Abstract

In this report we consider a vector generalization of Heisenberg ferromagnet equation. That completely integrable system is related to a spectral problem in pole gauge for the Lie algebra sl(n + 1,C). We construct special solutions over constant background using dressing technique. MSC : 35C05, 35C08, 35G50, 37K15, 37K35