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

Autor: Pritula, G. M., Vekslerchik, V. E.
Rok vydání: 2011
Předmět:
Zdroj: Journal of Nonlinear Mathematical Physics, 18 (2011) 443
Druh dokumentu: Working Paper
DOI: 10.1142/S1402925111001702
Popis: 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.
Databáze: arXiv