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arXiv · 1108.5937

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

G. M. Pritula·V. E. Vekslerchik
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Abstract

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.

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G. M. Pritula, V. E. Vekslerchik. 2011-08-30. Toda-Heisenberg chain: interacting sigma-fields in two dimensions. https://doi.org/10.1142/s1402925111001702

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