Higher 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.
@article{arxiv.solv-int/9907018,
title = {Multi-Field Integrable Systems Related to WKI-Type Eigenvalue Problems},
author = {Takayuki Tsuchida and Miki Wadati},
journal= {arXiv preprint arXiv:solv-int/9907018},
year = {2007}
}