Toda-Heisenberg chain: interacting sigma-fields in two dimensions
Exactly Solvable and Integrable Systems
2012-11-09 v1
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.
Keywords
Cite
@article{arxiv.1108.5937,
title = {Toda-Heisenberg chain: interacting sigma-fields in two dimensions},
author = {G. M. Pritula and V. E. Vekslerchik},
journal= {arXiv preprint arXiv:1108.5937},
year = {2012}
}