(2 +1)-dimensional Integrable Heisenberg Ferromagnetic Chain Equation Of The Prolongation Structure

In this paper,we investigate the integrable (2+1)-dimensional Hesisenberg ferromagnet (HF) model by using the prolongation structrue theory. Then,we consider the integrable (2+1)dimensional M(modified)HF model, and give the corresonding geometrical equivalent counterparts,such as the (2+1)-dimensional nonlinear Schrodinger equation and the coupled (2+1)-dimensional integrable equations,through the motion of Minkowski space curves endowed with an addi-toional spatial variable.