Affiliation:
1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P. R. China
Abstract
In this paper, in terms of taking values in a commutative subalgebra [Formula: see text] of Lie algebra [Formula: see text], one establishes two novel extended [Formula: see text]-Heisenberg ferromagnet models in both [Formula: see text] and [Formula: see text]-dimensions and derives their corresponding Lax representations. Moreover, we present their geometrical equivalent equations which are [Formula: see text]-nonlinear Schrödinger equations.
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)