论文标题
Heisenberg Ferromagnet类型的多组分非线性进化方程。本地与非局部减少
Multicomponent Nonlinear Evolution Equations of the Heisenberg Ferromagnet Type. Local versus Nonlocal Reductions
论文作者
论文摘要
该论文专用于与类型$ \ mathbf {a.iii} $相关的矩阵非线性进化方程系统。所考虑的系统扩展了$ 1+1 $尺寸的Heisenberg Ferromagnet方程，其宽松对具有与原始Heisenberg Ferromagnet模型相似的形式。我们将在这里提出某些局部和非本地减少。也将讨论局部可集成的变形及其一些减少。
The paper is dedicated to a system of matrix nonlinear evolution equations related to a Hermitian symmetric space of the type $\mathbf{A.III}$. 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.
