Prolongation structure of the (2+1)-dimensional integrable Heisenberg ferromagnet model

Abstract

We investigate the integrable (2+1)-dimensional (modified) Heisenberg ferromagnet (HF) model using the prolongation structure theory. For the integrable (2+1)-dimensional modified HF models, the corresponding geometrical equivalent counterparts, such as the (2+1)-dimensional nonlinear Schrodinger equation and the coupled (2+1)-dimensional integrable equations, are also presented through the motion of Minkowski space curves endowed with an additional spatial variable.