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We study a (2+1)-dimensional system that can be viewed as an infinite numberof O(3) sigma-fields coupled by a nearest-neighbour Heisenberg-likeinteraction. We reduce the field equations of this model to an integrablesystem that is closely related to the two-dimensional relativistic Toda chainand the Ablowitz-Ladik equations. Using this reduction we obtain thedark-soliton solutions of our model.

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