标题： 托达-海森堡链：二维中的相互作用σ场 显示英文标题

标题： Toda-Heisenberg chain: interacting sigma-fields in two dimensions

摘要： 我们研究一个(2+1)维系统，可以将其视为由最近邻的海森堡类似相互作用耦合的无限多个O(3) sigma场。 我们将该模型的场方程简化为一个与二维相对论性Toda链和Ablowitz-Ladik方程密切相关的一个可积系统。 利用这种约化，我们得到了我们模型的暗孤子解。 显示英文摘要

摘要： We study a (2+1)-dimensional system that can be viewed as an infinite number of O(3) sigma-fields coupled by a nearest-neighbour Heisenberg-like interaction. We reduce the field equations of this model to an integrable system that is closely related to the two-dimensional relativistic Toda chain and the Ablowitz-Ladik equations. Using this reduction we obtain the dark-soliton solutions of our model.