2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122801Higher flows of the Heisenberg ferromagnet equation and the Wadati-Konno-Ichikawa equation are generalized into multi-component systems on the basis of the Lax formulation. It is shown that there is a correspondence between the multi-component systems through a gauge transformation. An integrable semi-discretization of the multi-component higher Heisenberg ferromagnet system is obtained.9 pages, LaTeX209 file, uses jpsj.styExactly Solvable and Integrable Systemstext