Multicomponent Nonlinear Evolution Equations of the Heisenberg Ferromagnet Type. Local versus Nonlocal Reductions
Abstract
The paper is dedicated to a system of matrix nonlinear evolution equations related to a Hermitian symmetric space of the type A.III. The system under consideration extends the 1+1 dimensional Heisenberg ferromagnet equation in the sense that its Lax pair has a form rather similar to the pair of the original Heisenberg ferromagnet model. We shall present here certain local and nonlocal reductions. A local integrable deformation and some of its reductions will be discussed too.
0