标题： 拟行列式解的广义海森堡磁模型 显示英文标题

标题： Quasideterminant solutions of the generalized Heisenberg magnet model

摘要： 在本文中，我们提出了基于一般线性李群GL(n)的广义海森堡磁模型(GHM)的达布变换，并利用准行列式构造多孤子解。进一步地，我们将通过达布变换得到的准行列式多孤子解与通过穿衣方法得到的解进行关联。我们还讨论了基于李群SU(n)的模型，并得到了基于SU(2)的模型的显式孤子解。 显示英文摘要

摘要： In this paper we present Darboux transformation for the generalized Heisenberg magnet (GHM) model based on general linear Lie group GL(n) and construct multi-soliton solutions in terms of quasideterminants. Further we relate the quasideterminant multi-soliton solutions obtained by the means of Darboux transformation with those of obtained by dressing method. We also discuss the model based on the Lie group SU(n) and obtain explicit soliton solutions of the model based on SU(2).