Integrable Deformations of the (2+1)-Dimensional Heisenberg Ferromagnetic Model

Based on the covariant prolongation structure technique, we construct the integrable higher-order deformations of the (2+1)-dimensional Heisenberg ferromagnet model and obtain their su(2) × R(λ) prolongation structures. By associating these deformed multidimensional Heisenberg ferromagnet models with the moving space curve in Euclidean space and using the Hasimoto function, we derive their geometrical equivalent counterparts, i.e., higher-order (2+1)-dimensional nonlinear Schrödinger equations. © 2012 Chinese Physical Society and IOP Publishing Ltd.