Three Types Generalized Zn-Heisenberg Ferromagnet Models

الملخص EN

By taking values in a commutative subalgebra gln,C, we construct a new generalized Zn-Heisenberg ferromagnet model in (1+1)-dimensions.

The corresponding geometrical equivalence between the generalized Zn-Heisenberg ferromagnet model and Zn-mixed derivative nonlinear Schrödinger equation has been investigated.

The Lax pairs associated with the generalized systems have been derived.

In addition, we construct the generalized Zn-inhomogeneous Heisenberg ferromagnet model and Zn-Ishimori equation in (2+1)-dimensions.

We also discuss the integrable properties of the multi-component systems.

Meanwhile, the generalized Zn-nonlinear Schrödinger equation, Zn-Davey–Stewartson equation and their Lax representation have been well studied.