By using the prolongation structure theory proposed by Morris, we give a (2+1)-dimensional integrable inhomogeneous Heisenberg Ferromagnet models, namely, the inhomogeneous Myrzakulov I equation. Through the motion of space curves endowed with an additional spatial variable, its geometrical equivalent counterpart is also presented.
@article{arxiv.nlin/0603069,
title = {On the integrable inhomogeneous Myrzakulov I equation},
author = {Zhen-Huan Zhang and Ming Deng and Wei-Zhong Zhao and Ke Wu},
journal= {arXiv preprint arXiv:nlin/0603069},
year = {2007}
}